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Finding the Fourth Proportional to 14,880, 22,323.24 and 5,646

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Solution

The fourth proportional to 14,880, 22,323.24 and 5,646 is: 8,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880 : 22,323.24 = 5,646 : x
  2. Step 2: Convert to fraction form
    14,880/22,323.24 = 5,646/x
  3. Step 3: Cross multiply
    14,880x = 22,323.24 × 5,646
  4. Step 4: Simplify right side
    14,880x = 126,037,013.04
  5. Step 5: Solve for x
    x = 126,037,013.04/14,880
  6. Step 6: Final answer
    x = 8,470.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.