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Finding the Fourth Proportional to 23,302.53, 32,146.49 and 15,751.49

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Solution

The fourth proportional to 23,302.53, 32,146.49 and 15,751.49 is: 21,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.53 : 32,146.49 = 15,751.49 : x
  2. Step 2: Convert to fraction form
    23,302.53/32,146.49 = 15,751.49/x
  3. Step 3: Cross multiply
    23,302.53x = 32,146.49 × 15,751.49
  4. Step 4: Simplify right side
    23,302.53x = 506,355,235.52
  5. Step 5: Solve for x
    x = 506,355,235.52/23,302.53
  6. Step 6: Final answer
    x = 21,729.62

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1.5x scale

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.