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Finding the Fourth Proportional to 22,656.11, 31,265.65 and 12,585.65

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Solution

The fourth proportional to 22,656.11, 31,265.65 and 12,585.65 is: 17,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.11 : 31,265.65 = 12,585.65 : x
  2. Step 2: Convert to fraction form
    22,656.11/31,265.65 = 12,585.65/x
  3. Step 3: Cross multiply
    22,656.11x = 31,265.65 × 12,585.65
  4. Step 4: Simplify right side
    22,656.11x = 393,498,580.34
  5. Step 5: Solve for x
    x = 393,498,580.34/22,656.11
  6. Step 6: Final answer
    x = 17,368.32

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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.