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Finding the Fourth Proportional to 13,547.10, 20,322.01 and 3,687.15

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Solution

The fourth proportional to 13,547.10, 20,322.01 and 3,687.15 is: 5,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.10 : 20,322.01 = 3,687.15 : x
  2. Step 2: Convert to fraction form
    13,547.10/20,322.01 = 3,687.15/x
  3. Step 3: Cross multiply
    13,547.10x = 20,322.01 × 3,687.15
  4. Step 4: Simplify right side
    13,547.10x = 74,930,218.89
  5. Step 5: Solve for x
    x = 74,930,218.89/13,547.10
  6. Step 6: Final answer
    x = 5,531.09

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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.