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Finding the Fourth Proportional to 15,686.20, 23,567.70 and 11,798.20

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Solution

The fourth proportional to 15,686.20, 23,567.70 and 11,798.20 is: 17,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.20 : 23,567.70 = 11,798.20 : x
  2. Step 2: Convert to fraction form
    15,686.20/23,567.70 = 11,798.20/x
  3. Step 3: Cross multiply
    15,686.20x = 23,567.70 × 11,798.20
  4. Step 4: Simplify right side
    15,686.20x = 278,056,438.14
  5. Step 5: Solve for x
    x = 278,056,438.14/15,686.20
  6. Step 6: Final answer
    x = 17,726.18

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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.