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Finding the Fourth Proportional to 22,872.58, 31,564.76 and 12,802.75

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Solution

The fourth proportional to 22,872.58, 31,564.76 and 12,802.75 is: 17,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.58 : 31,564.76 = 12,802.75 : x
  2. Step 2: Convert to fraction form
    22,872.58/31,564.76 = 12,802.75/x
  3. Step 3: Cross multiply
    22,872.58x = 31,564.76 × 12,802.75
  4. Step 4: Simplify right side
    22,872.58x = 404,115,588.16
  5. Step 5: Solve for x
    x = 404,115,588.16/22,872.58
  6. Step 6: Final answer
    x = 17,668.13

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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.