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Finding the Fourth Proportional to 23,038, 34,565.16 and 11,359.48

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Solution

The fourth proportional to 23,038, 34,565.16 and 11,359.48 is: 17,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038 : 34,565.16 = 11,359.48 : x
  2. Step 2: Convert to fraction form
    23,038/34,565.16 = 11,359.48/x
  3. Step 3: Cross multiply
    23,038x = 34,565.16 × 11,359.48
  4. Step 4: Simplify right side
    23,038x = 392,642,243.72
  5. Step 5: Solve for x
    x = 392,642,243.72/23,038
  6. Step 6: Final answer
    x = 17,043.24

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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.