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Finding the Fourth Proportional to 23,159.86, 34,713.53 and 10,654.07

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Solution

The fourth proportional to 23,159.86, 34,713.53 and 10,654.07 is: 15,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.86 : 34,713.53 = 10,654.07 : x
  2. Step 2: Convert to fraction form
    23,159.86/34,713.53 = 10,654.07/x
  3. Step 3: Cross multiply
    23,159.86x = 34,713.53 × 10,654.07
  4. Step 4: Simplify right side
    23,159.86x = 369,840,231.63
  5. Step 5: Solve for x
    x = 369,840,231.63/23,159.86
  6. Step 6: Final answer
    x = 15,969.02

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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.