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Finding the Fourth Proportional to 17,705.17, 24,444.89 and 11,000.80

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Solution

The fourth proportional to 17,705.17, 24,444.89 and 11,000.80 is: 15,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.17 : 24,444.89 = 11,000.80 : x
  2. Step 2: Convert to fraction form
    17,705.17/24,444.89 = 11,000.80/x
  3. Step 3: Cross multiply
    17,705.17x = 24,444.89 × 11,000.80
  4. Step 4: Simplify right side
    17,705.17x = 268,913,345.91
  5. Step 5: Solve for x
    x = 268,913,345.91/17,705.17
  6. Step 6: Final answer
    x = 15,188.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.