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Finding the Fourth Proportional to 16,542.46, 22,830.58 and 9,471.16

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Solution

The fourth proportional to 16,542.46, 22,830.58 and 9,471.16 is: 13,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.46 : 22,830.58 = 9,471.16 : x
  2. Step 2: Convert to fraction form
    16,542.46/22,830.58 = 9,471.16/x
  3. Step 3: Cross multiply
    16,542.46x = 22,830.58 × 9,471.16
  4. Step 4: Simplify right side
    16,542.46x = 216,232,076.07
  5. Step 5: Solve for x
    x = 216,232,076.07/16,542.46
  6. Step 6: Final answer
    x = 13,071.34

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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.