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Finding the Fourth Proportional to 22,711.68, 31,341.76 and 12,640

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Solution

The fourth proportional to 22,711.68, 31,341.76 and 12,640 is: 17,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.68 : 31,341.76 = 12,640 : x
  2. Step 2: Convert to fraction form
    22,711.68/31,341.76 = 12,640/x
  3. Step 3: Cross multiply
    22,711.68x = 31,341.76 × 12,640
  4. Step 4: Simplify right side
    22,711.68x = 396,159,846.40
  5. Step 5: Solve for x
    x = 396,159,846.40/22,711.68
  6. Step 6: Final answer
    x = 17,443.00

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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.