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Finding the Fourth Proportional to 23,253.63, 32,089.14 and 12,642.90

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Solution

The fourth proportional to 23,253.63, 32,089.14 and 12,642.90 is: 17,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.63 : 32,089.14 = 12,642.90 : x
  2. Step 2: Convert to fraction form
    23,253.63/32,089.14 = 12,642.90/x
  3. Step 3: Cross multiply
    23,253.63x = 32,089.14 × 12,642.90
  4. Step 4: Simplify right side
    23,253.63x = 405,699,788.11
  5. Step 5: Solve for x
    x = 405,699,788.11/23,253.63
  6. Step 6: Final answer
    x = 17,446.73

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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.