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Finding the Fourth Proportional to 13,904.76, 20,854.98 and 4,042

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Solution

The fourth proportional to 13,904.76, 20,854.98 and 4,042 is: 6,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.76 : 20,854.98 = 4,042 : x
  2. Step 2: Convert to fraction form
    13,904.76/20,854.98 = 4,042/x
  3. Step 3: Cross multiply
    13,904.76x = 20,854.98 × 4,042
  4. Step 4: Simplify right side
    13,904.76x = 84,295,829.16
  5. Step 5: Solve for x
    x = 84,295,829.16/13,904.76
  6. Step 6: Final answer
    x = 6,062.37

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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.