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Finding the Fourth Proportional to 16,442.68, 22,690.38 and 9,637.96

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Solution

The fourth proportional to 16,442.68, 22,690.38 and 9,637.96 is: 13,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.68 : 22,690.38 = 9,637.96 : x
  2. Step 2: Convert to fraction form
    16,442.68/22,690.38 = 9,637.96/x
  3. Step 3: Cross multiply
    16,442.68x = 22,690.38 × 9,637.96
  4. Step 4: Simplify right side
    16,442.68x = 218,688,974.82
  5. Step 5: Solve for x
    x = 218,688,974.82/16,442.68
  6. Step 6: Final answer
    x = 13,300.08

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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.