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Finding the Fourth Proportional to 17,705.68, 24,433.20 and 10,627.92

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Solution

The fourth proportional to 17,705.68, 24,433.20 and 10,627.92 is: 14,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.68 : 24,433.20 = 10,627.92 : x
  2. Step 2: Convert to fraction form
    17,705.68/24,433.20 = 10,627.92/x
  3. Step 3: Cross multiply
    17,705.68x = 24,433.20 × 10,627.92
  4. Step 4: Simplify right side
    17,705.68x = 259,674,094.94
  5. Step 5: Solve for x
    x = 259,674,094.94/17,705.68
  6. Step 6: Final answer
    x = 14,666.15

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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.