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Finding the Fourth Proportional to 14,214, 19,615.32 and 7,926.24

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Solution

The fourth proportional to 14,214, 19,615.32 and 7,926.24 is: 10,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214 : 19,615.32 = 7,926.24 : x
  2. Step 2: Convert to fraction form
    14,214/19,615.32 = 7,926.24/x
  3. Step 3: Cross multiply
    14,214x = 19,615.32 × 7,926.24
  4. Step 4: Simplify right side
    14,214x = 155,475,734.00
  5. Step 5: Solve for x
    x = 155,475,734.00/14,214
  6. Step 6: Final answer
    x = 10,938.21

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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.