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Finding the Fourth Proportional to 17,577.33, 24,257.34 and 10,024.89

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Solution

The fourth proportional to 17,577.33, 24,257.34 and 10,024.89 is: 13,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.33 : 24,257.34 = 10,024.89 : x
  2. Step 2: Convert to fraction form
    17,577.33/24,257.34 = 10,024.89/x
  3. Step 3: Cross multiply
    17,577.33x = 24,257.34 × 10,024.89
  4. Step 4: Simplify right side
    17,577.33x = 243,177,165.19
  5. Step 5: Solve for x
    x = 243,177,165.19/17,577.33
  6. Step 6: Final answer
    x = 13,834.70

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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.