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Finding the Fourth Proportional to 13,547.68, 20,318.39 and 6,524.14

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Solution

The fourth proportional to 13,547.68, 20,318.39 and 6,524.14 is: 9,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.68 : 20,318.39 = 6,524.14 : x
  2. Step 2: Convert to fraction form
    13,547.68/20,318.39 = 6,524.14/x
  3. Step 3: Cross multiply
    13,547.68x = 20,318.39 × 6,524.14
  4. Step 4: Simplify right side
    13,547.68x = 132,559,919.34
  5. Step 5: Solve for x
    x = 132,559,919.34/13,547.68
  6. Step 6: Final answer
    x = 9,784.70

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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.