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Finding the Fourth Proportional to 23,447.71, 32,356.57 and 12,835.30

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Solution

The fourth proportional to 23,447.71, 32,356.57 and 12,835.30 is: 17,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.71 : 32,356.57 = 12,835.30 : x
  2. Step 2: Convert to fraction form
    23,447.71/32,356.57 = 12,835.30/x
  3. Step 3: Cross multiply
    23,447.71x = 32,356.57 × 12,835.30
  4. Step 4: Simplify right side
    23,447.71x = 415,306,089.05
  5. Step 5: Solve for x
    x = 415,306,089.05/23,447.71
  6. Step 6: Final answer
    x = 17,712.01

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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.