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Finding the Fourth Proportional to 14,002.40, 20,980.92 and 6,589.28

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Solution

The fourth proportional to 14,002.40, 20,980.92 and 6,589.28 is: 9,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.40 : 20,980.92 = 6,589.28 : x
  2. Step 2: Convert to fraction form
    14,002.40/20,980.92 = 6,589.28/x
  3. Step 3: Cross multiply
    14,002.40x = 20,980.92 × 6,589.28
  4. Step 4: Simplify right side
    14,002.40x = 138,249,156.54
  5. Step 5: Solve for x
    x = 138,249,156.54/14,002.40
  6. Step 6: Final answer
    x = 9,873.25

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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.