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Finding the Fourth Proportional to 16,542, 22,827.96 and 9,090

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Solution

The fourth proportional to 16,542, 22,827.96 and 9,090 is: 12,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542 : 22,827.96 = 9,090 : x
  2. Step 2: Convert to fraction form
    16,542/22,827.96 = 9,090/x
  3. Step 3: Cross multiply
    16,542x = 22,827.96 × 9,090
  4. Step 4: Simplify right side
    16,542x = 207,506,156.40
  5. Step 5: Solve for x
    x = 207,506,156.40/16,542
  6. Step 6: Final answer
    x = 12,544.20

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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.