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Finding the Fourth Proportional to 16,541.40, 22,827.24 and 9,468

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Solution

The fourth proportional to 16,541.40, 22,827.24 and 9,468 is: 13,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.40 : 22,827.24 = 9,468 : x
  2. Step 2: Convert to fraction form
    16,541.40/22,827.24 = 9,468/x
  3. Step 3: Cross multiply
    16,541.40x = 22,827.24 × 9,468
  4. Step 4: Simplify right side
    16,541.40x = 216,128,308.32
  5. Step 5: Solve for x
    x = 216,128,308.32/16,541.40
  6. Step 6: Final answer
    x = 13,065.90

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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.