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Finding the Fourth Proportional to 25,685.52, 35,446.80 and 14,354.64

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Solution

The fourth proportional to 25,685.52, 35,446.80 and 14,354.64 is: 19,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.52 : 35,446.80 = 14,354.64 : x
  2. Step 2: Convert to fraction form
    25,685.52/35,446.80 = 14,354.64/x
  3. Step 3: Cross multiply
    25,685.52x = 35,446.80 × 14,354.64
  4. Step 4: Simplify right side
    25,685.52x = 508,826,053.15
  5. Step 5: Solve for x
    x = 508,826,053.15/25,685.52
  6. Step 6: Final answer
    x = 19,809.84

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