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Finding the Fourth Proportional to 14,156.33, 19,534.03 and 7,781.87

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Solution

The fourth proportional to 14,156.33, 19,534.03 and 7,781.87 is: 10,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.33 : 19,534.03 = 7,781.87 : x
  2. Step 2: Convert to fraction form
    14,156.33/19,534.03 = 7,781.87/x
  3. Step 3: Cross multiply
    14,156.33x = 19,534.03 × 7,781.87
  4. Step 4: Simplify right side
    14,156.33x = 152,011,204.22
  5. Step 5: Solve for x
    x = 152,011,204.22/14,156.33
  6. Step 6: Final answer
    x = 10,738.04

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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.