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Finding the Fourth Proportional to 24,104.68, 36,160.32 and 7,466.08

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Solution

The fourth proportional to 24,104.68, 36,160.32 and 7,466.08 is: 11,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,104.68 : 36,160.32 = 7,466.08 : x
  2. Step 2: Convert to fraction form
    24,104.68/36,160.32 = 7,466.08/x
  3. Step 3: Cross multiply
    24,104.68x = 36,160.32 × 7,466.08
  4. Step 4: Simplify right side
    24,104.68x = 269,975,841.95
  5. Step 5: Solve for x
    x = 269,975,841.95/24,104.68
  6. Step 6: Final answer
    x = 11,200.14

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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.