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Finding the Fourth Proportional to 25,437, 35,103.54 and 14,827.26

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Solution

The fourth proportional to 25,437, 35,103.54 and 14,827.26 is: 20,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,437 : 35,103.54 = 14,827.26 : x
  2. Step 2: Convert to fraction form
    25,437/35,103.54 = 14,827.26/x
  3. Step 3: Cross multiply
    25,437x = 35,103.54 × 14,827.26
  4. Step 4: Simplify right side
    25,437x = 520,489,314.50
  5. Step 5: Solve for x
    x = 520,489,314.50/25,437
  6. Step 6: Final answer
    x = 20,461.90

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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.