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Finding the Fourth Proportional to 19,616.57, 29,385.46 and 9,071.81

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Solution

The fourth proportional to 19,616.57, 29,385.46 and 9,071.81 is: 13,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.57 : 29,385.46 = 9,071.81 : x
  2. Step 2: Convert to fraction form
    19,616.57/29,385.46 = 9,071.81/x
  3. Step 3: Cross multiply
    19,616.57x = 29,385.46 × 9,071.81
  4. Step 4: Simplify right side
    19,616.57x = 266,579,287.20
  5. Step 5: Solve for x
    x = 266,579,287.20/19,616.57
  6. Step 6: Final answer
    x = 13,589.50

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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.