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Finding the Fourth Proportional to 14,215.67, 19,617.38 and 7,842.87

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Solution

The fourth proportional to 14,215.67, 19,617.38 and 7,842.87 is: 10,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.67 : 19,617.38 = 7,842.87 : x
  2. Step 2: Convert to fraction form
    14,215.67/19,617.38 = 7,842.87/x
  3. Step 3: Cross multiply
    14,215.67x = 19,617.38 × 7,842.87
  4. Step 4: Simplify right side
    14,215.67x = 153,856,561.08
  5. Step 5: Solve for x
    x = 153,856,561.08/14,215.67
  6. Step 6: Final answer
    x = 10,823.03

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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.