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Finding the Fourth Proportional to 24,307.71, 36,437.34 and 10,271.27

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Solution

The fourth proportional to 24,307.71, 36,437.34 and 10,271.27 is: 15,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.71 : 36,437.34 = 10,271.27 : x
  2. Step 2: Convert to fraction form
    24,307.71/36,437.34 = 10,271.27/x
  3. Step 3: Cross multiply
    24,307.71x = 36,437.34 × 10,271.27
  4. Step 4: Simplify right side
    24,307.71x = 374,257,575.04
  5. Step 5: Solve for x
    x = 374,257,575.04/24,307.71
  6. Step 6: Final answer
    x = 15,396.66

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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.