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Finding the Fourth Proportional to 25,666.16, 38,489.46 and 12,335.45

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Solution

The fourth proportional to 25,666.16, 38,489.46 and 12,335.45 is: 18,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.16 : 38,489.46 = 12,335.45 : x
  2. Step 2: Convert to fraction form
    25,666.16/38,489.46 = 12,335.45/x
  3. Step 3: Cross multiply
    25,666.16x = 38,489.46 × 12,335.45
  4. Step 4: Simplify right side
    25,666.16x = 474,784,616.91
  5. Step 5: Solve for x
    x = 474,784,616.91/25,666.16
  6. Step 6: Final answer
    x = 18,498.47

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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.