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Finding the Fourth Proportional to 17,564.56, 24,262.76 and 14,052.88

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Solution

The fourth proportional to 17,564.56, 24,262.76 and 14,052.88 is: 19,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.56 : 24,262.76 = 14,052.88 : x
  2. Step 2: Convert to fraction form
    17,564.56/24,262.76 = 14,052.88/x
  3. Step 3: Cross multiply
    17,564.56x = 24,262.76 × 14,052.88
  4. Step 4: Simplify right side
    17,564.56x = 340,961,654.75
  5. Step 5: Solve for x
    x = 340,961,654.75/17,564.56
  6. Step 6: Final answer
    x = 19,411.91

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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.