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Finding the Fourth Proportional to 13,547.77, 20,321.55 and 3,687

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Solution

The fourth proportional to 13,547.77, 20,321.55 and 3,687 is: 5,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.77 : 20,321.55 = 3,687 : x
  2. Step 2: Convert to fraction form
    13,547.77/20,321.55 = 3,687/x
  3. Step 3: Cross multiply
    13,547.77x = 20,321.55 × 3,687
  4. Step 4: Simplify right side
    13,547.77x = 74,925,554.85
  5. Step 5: Solve for x
    x = 74,925,554.85/13,547.77
  6. Step 6: Final answer
    x = 5,530.47

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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.