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Finding the Fourth Proportional to 14,131.69, 19,501.98 and 7,758.88

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Solution

The fourth proportional to 14,131.69, 19,501.98 and 7,758.88 is: 10,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.69 : 19,501.98 = 7,758.88 : x
  2. Step 2: Convert to fraction form
    14,131.69/19,501.98 = 7,758.88/x
  3. Step 3: Cross multiply
    14,131.69x = 19,501.98 × 7,758.88
  4. Step 4: Simplify right side
    14,131.69x = 151,313,444.73
  5. Step 5: Solve for x
    x = 151,313,444.73/14,131.69
  6. Step 6: Final answer
    x = 10,707.39

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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.