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Finding the Fourth Proportional to 24,271.76, 36,391.56 and 9,482.08

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Solution

The fourth proportional to 24,271.76, 36,391.56 and 9,482.08 is: 14,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.76 : 36,391.56 = 9,482.08 : x
  2. Step 2: Convert to fraction form
    24,271.76/36,391.56 = 9,482.08/x
  3. Step 3: Cross multiply
    24,271.76x = 36,391.56 × 9,482.08
  4. Step 4: Simplify right side
    24,271.76x = 345,067,683.24
  5. Step 5: Solve for x
    x = 345,067,683.24/24,271.76
  6. Step 6: Final answer
    x = 14,216.84

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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.