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Finding the Fourth Proportional to 24,503.76, 36,752.90 and 6,735.78

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Solution

The fourth proportional to 24,503.76, 36,752.90 and 6,735.78 is: 10,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.76 : 36,752.90 = 6,735.78 : x
  2. Step 2: Convert to fraction form
    24,503.76/36,752.90 = 6,735.78/x
  3. Step 3: Cross multiply
    24,503.76x = 36,752.90 × 6,735.78
  4. Step 4: Simplify right side
    24,503.76x = 247,559,448.76
  5. Step 5: Solve for x
    x = 247,559,448.76/24,503.76
  6. Step 6: Final answer
    x = 10,102.92

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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.