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Finding the Fourth Proportional to 15,338.16, 23,001.57 and 9,099.54

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Solution

The fourth proportional to 15,338.16, 23,001.57 and 9,099.54 is: 13,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.16 : 23,001.57 = 9,099.54 : x
  2. Step 2: Convert to fraction form
    15,338.16/23,001.57 = 9,099.54/x
  3. Step 3: Cross multiply
    15,338.16x = 23,001.57 × 9,099.54
  4. Step 4: Simplify right side
    15,338.16x = 209,303,706.28
  5. Step 5: Solve for x
    x = 209,303,706.28/15,338.16
  6. Step 6: Final answer
    x = 13,645.95

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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.