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Finding the Fourth Proportional to 24,837, 37,271.92 and 11,693.13

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Solution

The fourth proportional to 24,837, 37,271.92 and 11,693.13 is: 17,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837 : 37,271.92 = 11,693.13 : x
  2. Step 2: Convert to fraction form
    24,837/37,271.92 = 11,693.13/x
  3. Step 3: Cross multiply
    24,837x = 37,271.92 × 11,693.13
  4. Step 4: Simplify right side
    24,837x = 435,825,405.91
  5. Step 5: Solve for x
    x = 435,825,405.91/24,837
  6. Step 6: Final answer
    x = 17,547.43

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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.