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Finding the Fourth Proportional to 15,813.01, 23,686.71 and 9,219.21

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Solution

The fourth proportional to 15,813.01, 23,686.71 and 9,219.21 is: 13,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.01 : 23,686.71 = 9,219.21 : x
  2. Step 2: Convert to fraction form
    15,813.01/23,686.71 = 9,219.21/x
  3. Step 3: Cross multiply
    15,813.01x = 23,686.71 × 9,219.21
  4. Step 4: Simplify right side
    15,813.01x = 218,372,753.70
  5. Step 5: Solve for x
    x = 218,372,753.70/15,813.01
  6. Step 6: Final answer
    x = 13,809.69

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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.