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Finding the Fourth Proportional to 13,710.36, 20,547.09 and 6,298.47

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Solution

The fourth proportional to 13,710.36, 20,547.09 and 6,298.47 is: 9,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.36 : 20,547.09 = 6,298.47 : x
  2. Step 2: Convert to fraction form
    13,710.36/20,547.09 = 6,298.47/x
  3. Step 3: Cross multiply
    13,710.36x = 20,547.09 × 6,298.47
  4. Step 4: Simplify right side
    13,710.36x = 129,415,229.95
  5. Step 5: Solve for x
    x = 129,415,229.95/13,710.36
  6. Step 6: Final answer
    x = 9,439.23

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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.