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Finding the Fourth Proportional to 24,378.96, 36,543.83 and 13,262.63

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Solution

The fourth proportional to 24,378.96, 36,543.83 and 13,262.63 is: 19,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.96 : 36,543.83 = 13,262.63 : x
  2. Step 2: Convert to fraction form
    24,378.96/36,543.83 = 13,262.63/x
  3. Step 3: Cross multiply
    24,378.96x = 36,543.83 × 13,262.63
  4. Step 4: Simplify right side
    24,378.96x = 484,667,047.04
  5. Step 5: Solve for x
    x = 484,667,047.04/24,378.96
  6. Step 6: Final answer
    x = 19,880.55

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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.