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Finding the Fourth Proportional to 15,233, 22,852.86 and 6,475.40

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Solution

The fourth proportional to 15,233, 22,852.86 and 6,475.40 is: 9,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233 : 22,852.86 = 6,475.40 : x
  2. Step 2: Convert to fraction form
    15,233/22,852.86 = 6,475.40/x
  3. Step 3: Cross multiply
    15,233x = 22,852.86 × 6,475.40
  4. Step 4: Simplify right side
    15,233x = 147,981,409.64
  5. Step 5: Solve for x
    x = 147,981,409.64/15,233
  6. Step 6: Final answer
    x = 9,714.53

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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.