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Finding the Fourth Proportional to 17,470.85, 24,109.82 and 9,513.59

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Solution

The fourth proportional to 17,470.85, 24,109.82 and 9,513.59 is: 13,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.85 : 24,109.82 = 9,513.59 : x
  2. Step 2: Convert to fraction form
    17,470.85/24,109.82 = 9,513.59/x
  3. Step 3: Cross multiply
    17,470.85x = 24,109.82 × 9,513.59
  4. Step 4: Simplify right side
    17,470.85x = 229,370,945.63
  5. Step 5: Solve for x
    x = 229,370,945.63/17,470.85
  6. Step 6: Final answer
    x = 13,128.78

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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.