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Finding the Fourth Proportional to 23,655, 32,644.12 and 13,045

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Solution

The fourth proportional to 23,655, 32,644.12 and 13,045 is: 18,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655 : 32,644.12 = 13,045 : x
  2. Step 2: Convert to fraction form
    23,655/32,644.12 = 13,045/x
  3. Step 3: Cross multiply
    23,655x = 32,644.12 × 13,045
  4. Step 4: Simplify right side
    23,655x = 425,842,545.40
  5. Step 5: Solve for x
    x = 425,842,545.40/23,655
  6. Step 6: Final answer
    x = 18,002.22

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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.