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Finding the Fourth Proportional to 17,564.14, 24,238.00 and 9,606.20

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Solution

The fourth proportional to 17,564.14, 24,238.00 and 9,606.20 is: 13,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.14 : 24,238.00 = 9,606.20 : x
  2. Step 2: Convert to fraction form
    17,564.14/24,238.00 = 9,606.20/x
  3. Step 3: Cross multiply
    17,564.14x = 24,238.00 × 9,606.20
  4. Step 4: Simplify right side
    17,564.14x = 232,834,966.42
  5. Step 5: Solve for x
    x = 232,834,966.42/17,564.14
  6. Step 6: Final answer
    x = 13,256.27

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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.