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Finding the Fourth Proportional to 24,814.80, 37,148.28 and 16,024.08

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Solution

The fourth proportional to 24,814.80, 37,148.28 and 16,024.08 is: 23,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.80 : 37,148.28 = 16,024.08 : x
  2. Step 2: Convert to fraction form
    24,814.80/37,148.28 = 16,024.08/x
  3. Step 3: Cross multiply
    24,814.80x = 37,148.28 × 16,024.08
  4. Step 4: Simplify right side
    24,814.80x = 595,267,010.58
  5. Step 5: Solve for x
    x = 595,267,010.58/24,814.80
  6. Step 6: Final answer
    x = 23,988.39

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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.