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Finding the Fourth Proportional to 16,362, 22,587.12 and 10,078.02

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Solution

The fourth proportional to 16,362, 22,587.12 and 10,078.02 is: 13,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362 : 22,587.12 = 10,078.02 : x
  2. Step 2: Convert to fraction form
    16,362/22,587.12 = 10,078.02/x
  3. Step 3: Cross multiply
    16,362x = 22,587.12 × 10,078.02
  4. Step 4: Simplify right side
    16,362x = 227,633,447.10
  5. Step 5: Solve for x
    x = 227,633,447.10/16,362
  6. Step 6: Final answer
    x = 13,912.32

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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.