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Finding the Fourth Proportional to 14,365.57, 19,824.63 and 7,905.29

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Solution

The fourth proportional to 14,365.57, 19,824.63 and 7,905.29 is: 10,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.57 : 19,824.63 = 7,905.29 : x
  2. Step 2: Convert to fraction form
    14,365.57/19,824.63 = 7,905.29/x
  3. Step 3: Cross multiply
    14,365.57x = 19,824.63 × 7,905.29
  4. Step 4: Simplify right side
    14,365.57x = 156,719,350.17
  5. Step 5: Solve for x
    x = 156,719,350.17/14,365.57
  6. Step 6: Final answer
    x = 10,909.38

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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.