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Finding the Fourth Proportional to 16,140, 22,274.42 and 9,853.59

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Solution

The fourth proportional to 16,140, 22,274.42 and 9,853.59 is: 13,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140 : 22,274.42 = 9,853.59 : x
  2. Step 2: Convert to fraction form
    16,140/22,274.42 = 9,853.59/x
  3. Step 3: Cross multiply
    16,140x = 22,274.42 × 9,853.59
  4. Step 4: Simplify right side
    16,140x = 219,482,952.90
  5. Step 5: Solve for x
    x = 219,482,952.90/16,140
  6. Step 6: Final answer
    x = 13,598.70

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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.