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Finding the Fourth Proportional to 12,833.52, 17,654.76 and 10,470.48

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Solution

The fourth proportional to 12,833.52, 17,654.76 and 10,470.48 is: 14,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.52 : 17,654.76 = 10,470.48 : x
  2. Step 2: Convert to fraction form
    12,833.52/17,654.76 = 10,470.48/x
  3. Step 3: Cross multiply
    12,833.52x = 17,654.76 × 10,470.48
  4. Step 4: Simplify right side
    12,833.52x = 184,853,811.48
  5. Step 5: Solve for x
    x = 184,853,811.48/12,833.52
  6. Step 6: Final answer
    x = 14,403.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.