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Finding the Fourth Proportional to 15,197.60, 22,794.12 and 4,808

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Solution

The fourth proportional to 15,197.60, 22,794.12 and 4,808 is: 7,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.60 : 22,794.12 = 4,808 : x
  2. Step 2: Convert to fraction form
    15,197.60/22,794.12 = 4,808/x
  3. Step 3: Cross multiply
    15,197.60x = 22,794.12 × 4,808
  4. Step 4: Simplify right side
    15,197.60x = 109,594,128.96
  5. Step 5: Solve for x
    x = 109,594,128.96/15,197.60
  6. Step 6: Final answer
    x = 7,211.28

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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.