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Finding the Fourth Proportional to 15,152.69, 22,734.52 and 7,760.63

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Solution

The fourth proportional to 15,152.69, 22,734.52 and 7,760.63 is: 11,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.69 : 22,734.52 = 7,760.63 : x
  2. Step 2: Convert to fraction form
    15,152.69/22,734.52 = 7,760.63/x
  3. Step 3: Cross multiply
    15,152.69x = 22,734.52 × 7,760.63
  4. Step 4: Simplify right side
    15,152.69x = 176,434,235.38
  5. Step 5: Solve for x
    x = 176,434,235.38/15,152.69
  6. Step 6: Final answer
    x = 11,643.75

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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.