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Finding the Fourth Proportional to 13,909.89, 19,195.68 and 7,536.50

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Solution

The fourth proportional to 13,909.89, 19,195.68 and 7,536.50 is: 10,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.89 : 19,195.68 = 7,536.50 : x
  2. Step 2: Convert to fraction form
    13,909.89/19,195.68 = 7,536.50/x
  3. Step 3: Cross multiply
    13,909.89x = 19,195.68 × 7,536.50
  4. Step 4: Simplify right side
    13,909.89x = 144,668,242.32
  5. Step 5: Solve for x
    x = 144,668,242.32/13,909.89
  6. Step 6: Final answer
    x = 10,400.39

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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.