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Finding the Fourth Proportional to 23,289.43, 32,122.07 and 14,784.16

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Solution

The fourth proportional to 23,289.43, 32,122.07 and 14,784.16 is: 20,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,289.43 : 32,122.07 = 14,784.16 : x
  2. Step 2: Convert to fraction form
    23,289.43/32,122.07 = 14,784.16/x
  3. Step 3: Cross multiply
    23,289.43x = 32,122.07 × 14,784.16
  4. Step 4: Simplify right side
    23,289.43x = 474,897,822.41
  5. Step 5: Solve for x
    x = 474,897,822.41/23,289.43
  6. Step 6: Final answer
    x = 20,391.13

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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.