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Finding the Fourth Proportional to 28,521.72, 42,767.32 and 9,538

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Solution

The fourth proportional to 28,521.72, 42,767.32 and 9,538 is: 14,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,521.72 : 42,767.32 = 9,538 : x
  2. Step 2: Convert to fraction form
    28,521.72/42,767.32 = 9,538/x
  3. Step 3: Cross multiply
    28,521.72x = 42,767.32 × 9,538
  4. Step 4: Simplify right side
    28,521.72x = 407,914,698.16
  5. Step 5: Solve for x
    x = 407,914,698.16/28,521.72
  6. Step 6: Final answer
    x = 14,301.90

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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.