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Finding the Fourth Proportional to 15,953.96, 23,932.56 and 6,101.53

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Solution

The fourth proportional to 15,953.96, 23,932.56 and 6,101.53 is: 9,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.96 : 23,932.56 = 6,101.53 : x
  2. Step 2: Convert to fraction form
    15,953.96/23,932.56 = 6,101.53/x
  3. Step 3: Cross multiply
    15,953.96x = 23,932.56 × 6,101.53
  4. Step 4: Simplify right side
    15,953.96x = 146,025,232.82
  5. Step 5: Solve for x
    x = 146,025,232.82/15,953.96
  6. Step 6: Final answer
    x = 9,152.91

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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.