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Finding the Fourth Proportional to 12,689.40, 19,038.20 and 6,116.04

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Solution

The fourth proportional to 12,689.40, 19,038.20 and 6,116.04 is: 9,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.40 : 19,038.20 = 6,116.04 : x
  2. Step 2: Convert to fraction form
    12,689.40/19,038.20 = 6,116.04/x
  3. Step 3: Cross multiply
    12,689.40x = 19,038.20 × 6,116.04
  4. Step 4: Simplify right side
    12,689.40x = 116,438,392.73
  5. Step 5: Solve for x
    x = 116,438,392.73/12,689.40
  6. Step 6: Final answer
    x = 9,176.04

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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.