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Finding the Fourth Proportional to 15,462, 23,193.88 and 4,931.28

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Solution

The fourth proportional to 15,462, 23,193.88 and 4,931.28 is: 7,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462 : 23,193.88 = 4,931.28 : x
  2. Step 2: Convert to fraction form
    15,462/23,193.88 = 4,931.28/x
  3. Step 3: Cross multiply
    15,462x = 23,193.88 × 4,931.28
  4. Step 4: Simplify right side
    15,462x = 114,375,516.57
  5. Step 5: Solve for x
    x = 114,375,516.57/15,462
  6. Step 6: Final answer
    x = 7,397.20

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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.