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Finding the Fourth Proportional to 22,873.85, 31,565.13 and 12,802.04

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Solution

The fourth proportional to 22,873.85, 31,565.13 and 12,802.04 is: 17,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.85 : 31,565.13 = 12,802.04 : x
  2. Step 2: Convert to fraction form
    22,873.85/31,565.13 = 12,802.04/x
  3. Step 3: Cross multiply
    22,873.85x = 31,565.13 × 12,802.04
  4. Step 4: Simplify right side
    22,873.85x = 404,097,899.04
  5. Step 5: Solve for x
    x = 404,097,899.04/22,873.85
  6. Step 6: Final answer
    x = 17,666.37

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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.