Home / 16,032-22,124.16-9,743.16

Finding the Fourth Proportional to 16,032, 22,124.16 and 9,743.16

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Solution

The fourth proportional to 16,032, 22,124.16 and 9,743.16 is: 13,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 22,124.16 = 9,743.16 : x
  2. Step 2: Convert to fraction form
    16,032/22,124.16 = 9,743.16/x
  3. Step 3: Cross multiply
    16,032x = 22,124.16 × 9,743.16
  4. Step 4: Simplify right side
    16,032x = 215,559,230.75
  5. Step 5: Solve for x
    x = 215,559,230.75/16,032
  6. Step 6: Final answer
    x = 13,445.56

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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.