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Finding the Fourth Proportional to 15,652.02, 23,478 and 10,397.28

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Solution

The fourth proportional to 15,652.02, 23,478 and 10,397.28 is: 15,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.02 : 23,478 = 10,397.28 : x
  2. Step 2: Convert to fraction form
    15,652.02/23,478 = 10,397.28/x
  3. Step 3: Cross multiply
    15,652.02x = 23,478 × 10,397.28
  4. Step 4: Simplify right side
    15,652.02x = 244,107,339.84
  5. Step 5: Solve for x
    x = 244,107,339.84/15,652.02
  6. Step 6: Final answer
    x = 15,595.90

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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.