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Finding the Fourth Proportional to 22,976, 31,706.88 and 13,040

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Solution

The fourth proportional to 22,976, 31,706.88 and 13,040 is: 17,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976 : 31,706.88 = 13,040 : x
  2. Step 2: Convert to fraction form
    22,976/31,706.88 = 13,040/x
  3. Step 3: Cross multiply
    22,976x = 31,706.88 × 13,040
  4. Step 4: Simplify right side
    22,976x = 413,457,715.20
  5. Step 5: Solve for x
    x = 413,457,715.20/22,976
  6. Step 6: Final answer
    x = 17,995.20

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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.