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Finding the Fourth Proportional to 24,713.20, 37,069.80 and 14,847.40

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Solution

The fourth proportional to 24,713.20, 37,069.80 and 14,847.40 is: 22,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.20 : 37,069.80 = 14,847.40 : x
  2. Step 2: Convert to fraction form
    24,713.20/37,069.80 = 14,847.40/x
  3. Step 3: Cross multiply
    24,713.20x = 37,069.80 × 14,847.40
  4. Step 4: Simplify right side
    24,713.20x = 550,390,148.52
  5. Step 5: Solve for x
    x = 550,390,148.52/24,713.20
  6. Step 6: Final answer
    x = 22,271.10

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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.