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Finding the Fourth Proportional to 14,320.43, 19,762.38 and 7,947.15

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Solution

The fourth proportional to 14,320.43, 19,762.38 and 7,947.15 is: 10,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.43 : 19,762.38 = 7,947.15 : x
  2. Step 2: Convert to fraction form
    14,320.43/19,762.38 = 7,947.15/x
  3. Step 3: Cross multiply
    14,320.43x = 19,762.38 × 7,947.15
  4. Step 4: Simplify right side
    14,320.43x = 157,054,524.11
  5. Step 5: Solve for x
    x = 157,054,524.11/14,320.43
  6. Step 6: Final answer
    x = 10,967.17

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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.