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Finding the Fourth Proportional to 25,688.40, 38,530 and 12,549.84

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Solution

The fourth proportional to 25,688.40, 38,530 and 12,549.84 is: 18,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.40 : 38,530 = 12,549.84 : x
  2. Step 2: Convert to fraction form
    25,688.40/38,530 = 12,549.84/x
  3. Step 3: Cross multiply
    25,688.40x = 38,530 × 12,549.84
  4. Step 4: Simplify right side
    25,688.40x = 483,545,335.20
  5. Step 5: Solve for x
    x = 483,545,335.20/25,688.40
  6. Step 6: Final answer
    x = 18,823.49

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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.