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Finding the Fourth Proportional to 14,282.79, 19,710.22 and 7,909.71

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Solution

The fourth proportional to 14,282.79, 19,710.22 and 7,909.71 is: 10,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.79 : 19,710.22 = 7,909.71 : x
  2. Step 2: Convert to fraction form
    14,282.79/19,710.22 = 7,909.71/x
  3. Step 3: Cross multiply
    14,282.79x = 19,710.22 × 7,909.71
  4. Step 4: Simplify right side
    14,282.79x = 155,902,124.24
  5. Step 5: Solve for x
    x = 155,902,124.24/14,282.79
  6. Step 6: Final answer
    x = 10,915.38

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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.