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Finding the Fourth Proportional to 22,568.90, 31,148.96 and 13,007.08

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Solution

The fourth proportional to 22,568.90, 31,148.96 and 13,007.08 is: 17,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.90 : 31,148.96 = 13,007.08 : x
  2. Step 2: Convert to fraction form
    22,568.90/31,148.96 = 13,007.08/x
  3. Step 3: Cross multiply
    22,568.90x = 31,148.96 × 13,007.08
  4. Step 4: Simplify right side
    22,568.90x = 405,156,988.54
  5. Step 5: Solve for x
    x = 405,156,988.54/22,568.90
  6. Step 6: Final answer
    x = 17,952.00

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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.