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Finding the Fourth Proportional to 23,449, 32,360.45 and 12,838.72

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Solution

The fourth proportional to 23,449, 32,360.45 and 12,838.72 is: 17,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449 : 32,360.45 = 12,838.72 : x
  2. Step 2: Convert to fraction form
    23,449/32,360.45 = 12,838.72/x
  3. Step 3: Cross multiply
    23,449x = 32,360.45 × 12,838.72
  4. Step 4: Simplify right side
    23,449x = 415,466,756.62
  5. Step 5: Solve for x
    x = 415,466,756.62/23,449
  6. Step 6: Final answer
    x = 17,717.89

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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.