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Finding the Fourth Proportional to 14,259.16, 19,677.07 and 7,885.33

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Solution

The fourth proportional to 14,259.16, 19,677.07 and 7,885.33 is: 10,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.16 : 19,677.07 = 7,885.33 : x
  2. Step 2: Convert to fraction form
    14,259.16/19,677.07 = 7,885.33/x
  3. Step 3: Cross multiply
    14,259.16x = 19,677.07 × 7,885.33
  4. Step 4: Simplify right side
    14,259.16x = 155,160,217.38
  5. Step 5: Solve for x
    x = 155,160,217.38/14,259.16
  6. Step 6: Final answer
    x = 10,881.44

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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.