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Finding the Fourth Proportional to 25,646.50, 35,392.22 and 14,468.50

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Solution

The fourth proportional to 25,646.50, 35,392.22 and 14,468.50 is: 19,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.50 : 35,392.22 = 14,468.50 : x
  2. Step 2: Convert to fraction form
    25,646.50/35,392.22 = 14,468.50/x
  3. Step 3: Cross multiply
    25,646.50x = 35,392.22 × 14,468.50
  4. Step 4: Simplify right side
    25,646.50x = 512,072,335.07
  5. Step 5: Solve for x
    x = 512,072,335.07/25,646.50
  6. Step 6: Final answer
    x = 19,966.56

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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.