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Finding the Fourth Proportional to 14,159.87, 19,539.87 and 7,786.34

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Solution

The fourth proportional to 14,159.87, 19,539.87 and 7,786.34 is: 10,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.87 : 19,539.87 = 7,786.34 : x
  2. Step 2: Convert to fraction form
    14,159.87/19,539.87 = 7,786.34/x
  3. Step 3: Cross multiply
    14,159.87x = 19,539.87 × 7,786.34
  4. Step 4: Simplify right side
    14,159.87x = 152,144,071.38
  5. Step 5: Solve for x
    x = 152,144,071.38/14,159.87
  6. Step 6: Final answer
    x = 10,744.74

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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.