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Finding the Fourth Proportional to 25,207, 34,785.68 and 14,597.20

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Solution

The fourth proportional to 25,207, 34,785.68 and 14,597.20 is: 20,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207 : 34,785.68 = 14,597.20 : x
  2. Step 2: Convert to fraction form
    25,207/34,785.68 = 14,597.20/x
  3. Step 3: Cross multiply
    25,207x = 34,785.68 × 14,597.20
  4. Step 4: Simplify right side
    25,207x = 507,773,528.10
  5. Step 5: Solve for x
    x = 507,773,528.10/25,207
  6. Step 6: Final answer
    x = 20,144.15

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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.