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Finding the Fourth Proportional to 13,023.96, 17,963.76 and 8,478.24

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Solution

The fourth proportional to 13,023.96, 17,963.76 and 8,478.24 is: 11,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.96 : 17,963.76 = 8,478.24 : x
  2. Step 2: Convert to fraction form
    13,023.96/17,963.76 = 8,478.24/x
  3. Step 3: Cross multiply
    13,023.96x = 17,963.76 × 8,478.24
  4. Step 4: Simplify right side
    13,023.96x = 152,301,068.58
  5. Step 5: Solve for x
    x = 152,301,068.58/13,023.96
  6. Step 6: Final answer
    x = 11,693.91

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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.