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Finding the Fourth Proportional to 25,073.92, 37,617.36 and 13,384

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Solution

The fourth proportional to 25,073.92, 37,617.36 and 13,384 is: 20,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,073.92 : 37,617.36 = 13,384 : x
  2. Step 2: Convert to fraction form
    25,073.92/37,617.36 = 13,384/x
  3. Step 3: Cross multiply
    25,073.92x = 37,617.36 × 13,384
  4. Step 4: Simplify right side
    25,073.92x = 503,470,746.24
  5. Step 5: Solve for x
    x = 503,470,746.24/25,073.92
  6. Step 6: Final answer
    x = 20,079.46

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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.