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Finding the Fourth Proportional to 17,830.19, 24,626.49 and 14,257.49

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Solution

The fourth proportional to 17,830.19, 24,626.49 and 14,257.49 is: 19,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.19 : 24,626.49 = 14,257.49 : x
  2. Step 2: Convert to fraction form
    17,830.19/24,626.49 = 14,257.49/x
  3. Step 3: Cross multiply
    17,830.19x = 24,626.49 × 14,257.49
  4. Step 4: Simplify right side
    17,830.19x = 351,111,934.91
  5. Step 5: Solve for x
    x = 351,111,934.91/17,830.19
  6. Step 6: Final answer
    x = 19,691.99

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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.