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Finding the Fourth Proportional to 14,214.13, 19,616.10 and 7,926.50

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Solution

The fourth proportional to 14,214.13, 19,616.10 and 7,926.50 is: 10,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.13 : 19,616.10 = 7,926.50 : x
  2. Step 2: Convert to fraction form
    14,214.13/19,616.10 = 7,926.50/x
  3. Step 3: Cross multiply
    14,214.13x = 19,616.10 × 7,926.50
  4. Step 4: Simplify right side
    14,214.13x = 155,487,016.65
  5. Step 5: Solve for x
    x = 155,487,016.65/14,214.13
  6. Step 6: Final answer
    x = 10,938.90

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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.