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Finding the Fourth Proportional to 24,123.70, 36,184.20 and 7,483.60

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Solution

The fourth proportional to 24,123.70, 36,184.20 and 7,483.60 is: 11,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.70 : 36,184.20 = 7,483.60 : x
  2. Step 2: Convert to fraction form
    24,123.70/36,184.20 = 7,483.60/x
  3. Step 3: Cross multiply
    24,123.70x = 36,184.20 × 7,483.60
  4. Step 4: Simplify right side
    24,123.70x = 270,788,079.12
  5. Step 5: Solve for x
    x = 270,788,079.12/24,123.70
  6. Step 6: Final answer
    x = 11,224.98

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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.