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Finding the Fourth Proportional to 25,877.64, 35,710.95 and 14,699.64

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Solution

The fourth proportional to 25,877.64, 35,710.95 and 14,699.64 is: 20,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.64 : 35,710.95 = 14,699.64 : x
  2. Step 2: Convert to fraction form
    25,877.64/35,710.95 = 14,699.64/x
  3. Step 3: Cross multiply
    25,877.64x = 35,710.95 × 14,699.64
  4. Step 4: Simplify right side
    25,877.64x = 524,938,109.06
  5. Step 5: Solve for x
    x = 524,938,109.06/25,877.64
  6. Step 6: Final answer
    x = 20,285.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.