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Finding the Fourth Proportional to 13,909.11, 20,870.49 and 6,514.08

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Solution

The fourth proportional to 13,909.11, 20,870.49 and 6,514.08 is: 9,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.11 : 20,870.49 = 6,514.08 : x
  2. Step 2: Convert to fraction form
    13,909.11/20,870.49 = 6,514.08/x
  3. Step 3: Cross multiply
    13,909.11x = 20,870.49 × 6,514.08
  4. Step 4: Simplify right side
    13,909.11x = 135,952,041.50
  5. Step 5: Solve for x
    x = 135,952,041.50/13,909.11
  6. Step 6: Final answer
    x = 9,774.32

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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.