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Finding the Fourth Proportional to 22,952, 31,673.76 and 13,016

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Solution

The fourth proportional to 22,952, 31,673.76 and 13,016 is: 17,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952 : 31,673.76 = 13,016 : x
  2. Step 2: Convert to fraction form
    22,952/31,673.76 = 13,016/x
  3. Step 3: Cross multiply
    22,952x = 31,673.76 × 13,016
  4. Step 4: Simplify right side
    22,952x = 412,265,660.16
  5. Step 5: Solve for x
    x = 412,265,660.16/22,952
  6. Step 6: Final answer
    x = 17,962.08

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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.