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Finding the Fourth Proportional to 14,319.52, 19,762.03 and 7,947.32

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Solution

The fourth proportional to 14,319.52, 19,762.03 and 7,947.32 is: 10,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.52 : 19,762.03 = 7,947.32 : x
  2. Step 2: Convert to fraction form
    14,319.52/19,762.03 = 7,947.32/x
  3. Step 3: Cross multiply
    14,319.52x = 19,762.03 × 7,947.32
  4. Step 4: Simplify right side
    14,319.52x = 157,055,176.26
  5. Step 5: Solve for x
    x = 157,055,176.26/14,319.52
  6. Step 6: Final answer
    x = 10,967.91

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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.