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Finding the Fourth Proportional to 23,434.86, 32,339.07 and 12,824.94

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Solution

The fourth proportional to 23,434.86, 32,339.07 and 12,824.94 is: 17,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.86 : 32,339.07 = 12,824.94 : x
  2. Step 2: Convert to fraction form
    23,434.86/32,339.07 = 12,824.94/x
  3. Step 3: Cross multiply
    23,434.86x = 32,339.07 × 12,824.94
  4. Step 4: Simplify right side
    23,434.86x = 414,746,632.41
  5. Step 5: Solve for x
    x = 414,746,632.41/23,434.86
  6. Step 6: Final answer
    x = 17,697.85

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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.