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Finding the Fourth Proportional to 13,547.28, 20,317.84 and 6,523.71

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Solution

The fourth proportional to 13,547.28, 20,317.84 and 6,523.71 is: 9,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.28 : 20,317.84 = 6,523.71 : x
  2. Step 2: Convert to fraction form
    13,547.28/20,317.84 = 6,523.71/x
  3. Step 3: Cross multiply
    13,547.28x = 20,317.84 × 6,523.71
  4. Step 4: Simplify right side
    13,547.28x = 132,547,695.99
  5. Step 5: Solve for x
    x = 132,547,695.99/13,547.28
  6. Step 6: Final answer
    x = 9,784.08

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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.