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Finding the Fourth Proportional to 25,597.57, 38,346.94 and 14,470.20

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Solution

The fourth proportional to 25,597.57, 38,346.94 and 14,470.20 is: 21,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.57 : 38,346.94 = 14,470.20 : x
  2. Step 2: Convert to fraction form
    25,597.57/38,346.94 = 14,470.20/x
  3. Step 3: Cross multiply
    25,597.57x = 38,346.94 × 14,470.20
  4. Step 4: Simplify right side
    25,597.57x = 554,887,891.19
  5. Step 5: Solve for x
    x = 554,887,891.19/25,597.57
  6. Step 6: Final answer
    x = 21,677.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.