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Finding the Fourth Proportional to 14,881.16, 22,322.28 and 4,493

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Solution

The fourth proportional to 14,881.16, 22,322.28 and 4,493 is: 6,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.16 : 22,322.28 = 4,493 : x
  2. Step 2: Convert to fraction form
    14,881.16/22,322.28 = 4,493/x
  3. Step 3: Cross multiply
    14,881.16x = 22,322.28 × 4,493
  4. Step 4: Simplify right side
    14,881.16x = 100,294,004.04
  5. Step 5: Solve for x
    x = 100,294,004.04/14,881.16
  6. Step 6: Final answer
    x = 6,739.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.