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Finding the Fourth Proportional to 24,655.36, 36,982.08 and 13,584

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Solution

The fourth proportional to 24,655.36, 36,982.08 and 13,584 is: 20,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655.36 : 36,982.08 = 13,584 : x
  2. Step 2: Convert to fraction form
    24,655.36/36,982.08 = 13,584/x
  3. Step 3: Cross multiply
    24,655.36x = 36,982.08 × 13,584
  4. Step 4: Simplify right side
    24,655.36x = 502,364,574.72
  5. Step 5: Solve for x
    x = 502,364,574.72/24,655.36
  6. Step 6: Final answer
    x = 20,375.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.