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Finding the Fourth Proportional to 11,565.37, 17,348.91 and 10,188.24

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Solution

The fourth proportional to 11,565.37, 17,348.91 and 10,188.24 is: 15,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.37 : 17,348.91 = 10,188.24 : x
  2. Step 2: Convert to fraction form
    11,565.37/17,348.91 = 10,188.24/x
  3. Step 3: Cross multiply
    11,565.37x = 17,348.91 × 10,188.24
  4. Step 4: Simplify right side
    11,565.37x = 176,754,906.19
  5. Step 5: Solve for x
    x = 176,754,906.19/11,565.37
  6. Step 6: Final answer
    x = 15,283.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.