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Finding the Fourth Proportional to 21,002.93, 31,503.34 and 7,854.33

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Solution

The fourth proportional to 21,002.93, 31,503.34 and 7,854.33 is: 11,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.93 : 31,503.34 = 7,854.33 : x
  2. Step 2: Convert to fraction form
    21,002.93/31,503.34 = 7,854.33/x
  3. Step 3: Cross multiply
    21,002.93x = 31,503.34 × 7,854.33
  4. Step 4: Simplify right side
    21,002.93x = 247,437,589.19
  5. Step 5: Solve for x
    x = 247,437,589.19/21,002.93
  6. Step 6: Final answer
    x = 11,781.10

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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.