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Finding the Fourth Proportional to 17,783.46, 26,691.93 and 9,024.66

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Solution

The fourth proportional to 17,783.46, 26,691.93 and 9,024.66 is: 13,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.46 : 26,691.93 = 9,024.66 : x
  2. Step 2: Convert to fraction form
    17,783.46/26,691.93 = 9,024.66/x
  3. Step 3: Cross multiply
    17,783.46x = 26,691.93 × 9,024.66
  4. Step 4: Simplify right side
    17,783.46x = 240,885,592.99
  5. Step 5: Solve for x
    x = 240,885,592.99/17,783.46
  6. Step 6: Final answer
    x = 13,545.49

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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.