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Finding the Fourth Proportional to 23,478, 35,228.46 and 10,328.72

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Solution

The fourth proportional to 23,478, 35,228.46 and 10,328.72 is: 15,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478 : 35,228.46 = 10,328.72 : x
  2. Step 2: Convert to fraction form
    23,478/35,228.46 = 10,328.72/x
  3. Step 3: Cross multiply
    23,478x = 35,228.46 × 10,328.72
  4. Step 4: Simplify right side
    23,478x = 363,864,899.37
  5. Step 5: Solve for x
    x = 363,864,899.37/23,478
  6. Step 6: Final answer
    x = 15,498.12

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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.