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Finding the Fourth Proportional to 24,854.98, 37,281.24 and 9,271.40

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Solution

The fourth proportional to 24,854.98, 37,281.24 and 9,271.40 is: 13,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.98 : 37,281.24 = 9,271.40 : x
  2. Step 2: Convert to fraction form
    24,854.98/37,281.24 = 9,271.40/x
  3. Step 3: Cross multiply
    24,854.98x = 37,281.24 × 9,271.40
  4. Step 4: Simplify right side
    24,854.98x = 345,649,288.54
  5. Step 5: Solve for x
    x = 345,649,288.54/24,854.98
  6. Step 6: Final answer
    x = 13,906.64

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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.