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Finding the Fourth Proportional to 22,901.46, 31,605 and 12,829.65

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Solution

The fourth proportional to 22,901.46, 31,605 and 12,829.65 is: 17,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.46 : 31,605 = 12,829.65 : x
  2. Step 2: Convert to fraction form
    22,901.46/31,605 = 12,829.65/x
  3. Step 3: Cross multiply
    22,901.46x = 31,605 × 12,829.65
  4. Step 4: Simplify right side
    22,901.46x = 405,481,088.25
  5. Step 5: Solve for x
    x = 405,481,088.25/22,901.46
  6. Step 6: Final answer
    x = 17,705.47

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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.