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Finding the Fourth Proportional to 38,521.16, 57,783.90 and 10,817

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Solution

The fourth proportional to 38,521.16, 57,783.90 and 10,817 is: 16,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.16 : 57,783.90 = 10,817 : x
  2. Step 2: Convert to fraction form
    38,521.16/57,783.90 = 10,817/x
  3. Step 3: Cross multiply
    38,521.16x = 57,783.90 × 10,817
  4. Step 4: Simplify right side
    38,521.16x = 625,048,446.30
  5. Step 5: Solve for x
    x = 625,048,446.30/38,521.16
  6. Step 6: Final answer
    x = 16,226.11

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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.