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Finding the Fourth Proportional to 24,814.64, 34,243.08 and 15,384.08

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Solution

The fourth proportional to 24,814.64, 34,243.08 and 15,384.08 is: 21,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.64 : 34,243.08 = 15,384.08 : x
  2. Step 2: Convert to fraction form
    24,814.64/34,243.08 = 15,384.08/x
  3. Step 3: Cross multiply
    24,814.64x = 34,243.08 × 15,384.08
  4. Step 4: Simplify right side
    24,814.64x = 526,798,282.17
  5. Step 5: Solve for x
    x = 526,798,282.17/24,814.64
  6. Step 6: Final answer
    x = 21,229.33

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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.