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Finding the Fourth Proportional to 17,648.35, 24,350.16 and 10,569.76

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Solution

The fourth proportional to 17,648.35, 24,350.16 and 10,569.76 is: 14,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.35 : 24,350.16 = 10,569.76 : x
  2. Step 2: Convert to fraction form
    17,648.35/24,350.16 = 10,569.76/x
  3. Step 3: Cross multiply
    17,648.35x = 24,350.16 × 10,569.76
  4. Step 4: Simplify right side
    17,648.35x = 257,375,347.16
  5. Step 5: Solve for x
    x = 257,375,347.16/17,648.35
  6. Step 6: Final answer
    x = 14,583.54

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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.