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Finding the Fourth Proportional to 15,153, 22,714.38 and 6,392.76

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Solution

The fourth proportional to 15,153, 22,714.38 and 6,392.76 is: 9,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153 : 22,714.38 = 6,392.76 : x
  2. Step 2: Convert to fraction form
    15,153/22,714.38 = 6,392.76/x
  3. Step 3: Cross multiply
    15,153x = 22,714.38 × 6,392.76
  4. Step 4: Simplify right side
    15,153x = 145,207,579.89
  5. Step 5: Solve for x
    x = 145,207,579.89/15,153
  6. Step 6: Final answer
    x = 9,582.76

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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.