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Finding the Fourth Proportional to 22,608.12, 31,199.58 and 12,537

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Solution

The fourth proportional to 22,608.12, 31,199.58 and 12,537 is: 17,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.12 : 31,199.58 = 12,537 : x
  2. Step 2: Convert to fraction form
    22,608.12/31,199.58 = 12,537/x
  3. Step 3: Cross multiply
    22,608.12x = 31,199.58 × 12,537
  4. Step 4: Simplify right side
    22,608.12x = 391,149,134.46
  5. Step 5: Solve for x
    x = 391,149,134.46/22,608.12
  6. Step 6: Final answer
    x = 17,301.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.