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Finding the Fourth Proportional to 24,049.76, 36,071.93 and 6,520.95

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Solution

The fourth proportional to 24,049.76, 36,071.93 and 6,520.95 is: 9,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.76 : 36,071.93 = 6,520.95 : x
  2. Step 2: Convert to fraction form
    24,049.76/36,071.93 = 6,520.95/x
  3. Step 3: Cross multiply
    24,049.76x = 36,071.93 × 6,520.95
  4. Step 4: Simplify right side
    24,049.76x = 235,223,268.24
  5. Step 5: Solve for x
    x = 235,223,268.24/24,049.76
  6. Step 6: Final answer
    x = 9,780.69

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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.