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Finding the Fourth Proportional to 14,098.19, 19,431.12 and 12,294.42

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Solution

The fourth proportional to 14,098.19, 19,431.12 and 12,294.42 is: 16,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.19 : 19,431.12 = 12,294.42 : x
  2. Step 2: Convert to fraction form
    14,098.19/19,431.12 = 12,294.42/x
  3. Step 3: Cross multiply
    14,098.19x = 19,431.12 × 12,294.42
  4. Step 4: Simplify right side
    14,098.19x = 238,894,323.59
  5. Step 5: Solve for x
    x = 238,894,323.59/14,098.19
  6. Step 6: Final answer
    x = 16,945.04

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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.