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Finding the Fourth Proportional to 23,242.91, 32,076.06 and 12,894.93

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Solution

The fourth proportional to 23,242.91, 32,076.06 and 12,894.93 is: 17,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.91 : 32,076.06 = 12,894.93 : x
  2. Step 2: Convert to fraction form
    23,242.91/32,076.06 = 12,894.93/x
  3. Step 3: Cross multiply
    23,242.91x = 32,076.06 × 12,894.93
  4. Step 4: Simplify right side
    23,242.91x = 413,618,441.43
  5. Step 5: Solve for x
    x = 413,618,441.43/23,242.91
  6. Step 6: Final answer
    x = 17,795.47

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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.