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Finding the Fourth Proportional to 13,881.98, 19,158.12 and 9,158.06

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Solution

The fourth proportional to 13,881.98, 19,158.12 and 9,158.06 is: 12,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.98 : 19,158.12 = 9,158.06 : x
  2. Step 2: Convert to fraction form
    13,881.98/19,158.12 = 9,158.06/x
  3. Step 3: Cross multiply
    13,881.98x = 19,158.12 × 9,158.06
  4. Step 4: Simplify right side
    13,881.98x = 175,451,260.34
  5. Step 5: Solve for x
    x = 175,451,260.34/13,881.98
  6. Step 6: Final answer
    x = 12,638.78

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Why These Related Problems?

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