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Finding the Fourth Proportional to 25,800.77, 38,718.42 and 9,384.77

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Solution

The fourth proportional to 25,800.77, 38,718.42 and 9,384.77 is: 14,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.77 : 38,718.42 = 9,384.77 : x
  2. Step 2: Convert to fraction form
    25,800.77/38,718.42 = 9,384.77/x
  3. Step 3: Cross multiply
    25,800.77x = 38,718.42 × 9,384.77
  4. Step 4: Simplify right side
    25,800.77x = 363,363,419.54
  5. Step 5: Solve for x
    x = 363,363,419.54/25,800.77
  6. Step 6: Final answer
    x = 14,083.43

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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.