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Finding the Fourth Proportional to 22,544.83, 31,098.28 and 14,888.16

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Solution

The fourth proportional to 22,544.83, 31,098.28 and 14,888.16 is: 20,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.83 : 31,098.28 = 14,888.16 : x
  2. Step 2: Convert to fraction form
    22,544.83/31,098.28 = 14,888.16/x
  3. Step 3: Cross multiply
    22,544.83x = 31,098.28 × 14,888.16
  4. Step 4: Simplify right side
    22,544.83x = 462,996,246.52
  5. Step 5: Solve for x
    x = 462,996,246.52/22,544.83
  6. Step 6: Final answer
    x = 20,536.69

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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.