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Finding the Fourth Proportional to 13,358.24, 18,434.54 and 7,693.98

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Solution

The fourth proportional to 13,358.24, 18,434.54 and 7,693.98 is: 10,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.24 : 18,434.54 = 7,693.98 : x
  2. Step 2: Convert to fraction form
    13,358.24/18,434.54 = 7,693.98/x
  3. Step 3: Cross multiply
    13,358.24x = 18,434.54 × 7,693.98
  4. Step 4: Simplify right side
    13,358.24x = 141,835,001.30
  5. Step 5: Solve for x
    x = 141,835,001.30/13,358.24
  6. Step 6: Final answer
    x = 10,617.79

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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.