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Finding the Fourth Proportional to 15,838.66, 23,763.72 and 7,412.56

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Solution

The fourth proportional to 15,838.66, 23,763.72 and 7,412.56 is: 11,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.66 : 23,763.72 = 7,412.56 : x
  2. Step 2: Convert to fraction form
    15,838.66/23,763.72 = 7,412.56/x
  3. Step 3: Cross multiply
    15,838.66x = 23,763.72 × 7,412.56
  4. Step 4: Simplify right side
    15,838.66x = 176,150,000.32
  5. Step 5: Solve for x
    x = 176,150,000.32/15,838.66
  6. Step 6: Final answer
    x = 11,121.52

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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.