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Finding the Fourth Proportional to 17,686.40, 24,442.23 and 14,494.66

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Solution

The fourth proportional to 17,686.40, 24,442.23 and 14,494.66 is: 20,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.40 : 24,442.23 = 14,494.66 : x
  2. Step 2: Convert to fraction form
    17,686.40/24,442.23 = 14,494.66/x
  3. Step 3: Cross multiply
    17,686.40x = 24,442.23 × 14,494.66
  4. Step 4: Simplify right side
    17,686.40x = 354,281,813.49
  5. Step 5: Solve for x
    x = 354,281,813.49/17,686.40
  6. Step 6: Final answer
    x = 20,031.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.