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Finding the Fourth Proportional to 23,443.76, 32,354.97 and 14,946.19

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Solution

The fourth proportional to 23,443.76, 32,354.97 and 14,946.19 is: 20,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.76 : 32,354.97 = 14,946.19 : x
  2. Step 2: Convert to fraction form
    23,443.76/32,354.97 = 14,946.19/x
  3. Step 3: Cross multiply
    23,443.76x = 32,354.97 × 14,946.19
  4. Step 4: Simplify right side
    23,443.76x = 483,583,392.13
  5. Step 5: Solve for x
    x = 483,583,392.13/23,443.76
  6. Step 6: Final answer
    x = 20,627.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.