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Finding the Fourth Proportional to 14,162.18, 19,547.88 and 8,197.88

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Solution

The fourth proportional to 14,162.18, 19,547.88 and 8,197.88 is: 11,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.18 : 19,547.88 = 8,197.88 : x
  2. Step 2: Convert to fraction form
    14,162.18/19,547.88 = 8,197.88/x
  3. Step 3: Cross multiply
    14,162.18x = 19,547.88 × 8,197.88
  4. Step 4: Simplify right side
    14,162.18x = 160,251,174.49
  5. Step 5: Solve for x
    x = 160,251,174.49/14,162.18
  6. Step 6: Final answer
    x = 11,315.43

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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.