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Finding the Fourth Proportional to 38,686.95, 58,036.50 and 16,500.38

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Solution

The fourth proportional to 38,686.95, 58,036.50 and 16,500.38 is: 24,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.95 : 58,036.50 = 16,500.38 : x
  2. Step 2: Convert to fraction form
    38,686.95/58,036.50 = 16,500.38/x
  3. Step 3: Cross multiply
    38,686.95x = 58,036.50 × 16,500.38
  4. Step 4: Simplify right side
    38,686.95x = 957,624,013.69
  5. Step 5: Solve for x
    x = 957,624,013.69/38,686.95
  6. Step 6: Final answer
    x = 24,753.15

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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.