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Finding the Fourth Proportional to 24,564.60, 36,846 and 7,034.40

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Solution

The fourth proportional to 24,564.60, 36,846 and 7,034.40 is: 10,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.60 : 36,846 = 7,034.40 : x
  2. Step 2: Convert to fraction form
    24,564.60/36,846 = 7,034.40/x
  3. Step 3: Cross multiply
    24,564.60x = 36,846 × 7,034.40
  4. Step 4: Simplify right side
    24,564.60x = 259,189,502.40
  5. Step 5: Solve for x
    x = 259,189,502.40/24,564.60
  6. Step 6: Final answer
    x = 10,551.34

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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.