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Finding the Fourth Proportional to 22,657.65, 31,266.23 and 12,585.51

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Solution

The fourth proportional to 22,657.65, 31,266.23 and 12,585.51 is: 17,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.65 : 31,266.23 = 12,585.51 : x
  2. Step 2: Convert to fraction form
    22,657.65/31,266.23 = 12,585.51/x
  3. Step 3: Cross multiply
    22,657.65x = 31,266.23 × 12,585.51
  4. Step 4: Simplify right side
    22,657.65x = 393,501,387.40
  5. Step 5: Solve for x
    x = 393,501,387.40/22,657.65
  6. Step 6: Final answer
    x = 17,367.26

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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.