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Finding the Fourth Proportional to 17,564.80, 24,239.43 and 9,607.76

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Solution

The fourth proportional to 17,564.80, 24,239.43 and 9,607.76 is: 13,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.80 : 24,239.43 = 9,607.76 : x
  2. Step 2: Convert to fraction form
    17,564.80/24,239.43 = 9,607.76/x
  3. Step 3: Cross multiply
    17,564.80x = 24,239.43 × 9,607.76
  4. Step 4: Simplify right side
    17,564.80x = 232,886,625.98
  5. Step 5: Solve for x
    x = 232,886,625.98/17,564.80
  6. Step 6: Final answer
    x = 13,258.71

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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.