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Finding the Fourth Proportional to 23,760.59, 35,653.16 and 10,442.93

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Solution

The fourth proportional to 23,760.59, 35,653.16 and 10,442.93 is: 15,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.59 : 35,653.16 = 10,442.93 : x
  2. Step 2: Convert to fraction form
    23,760.59/35,653.16 = 10,442.93/x
  3. Step 3: Cross multiply
    23,760.59x = 35,653.16 × 10,442.93
  4. Step 4: Simplify right side
    23,760.59x = 372,323,275.89
  5. Step 5: Solve for x
    x = 372,323,275.89/23,760.59
  6. Step 6: Final answer
    x = 15,669.79

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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.