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Finding the Fourth Proportional to 25,052.66, 37,582.46 and 8,417.45

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Solution

The fourth proportional to 25,052.66, 37,582.46 and 8,417.45 is: 12,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.66 : 37,582.46 = 8,417.45 : x
  2. Step 2: Convert to fraction form
    25,052.66/37,582.46 = 8,417.45/x
  3. Step 3: Cross multiply
    25,052.66x = 37,582.46 × 8,417.45
  4. Step 4: Simplify right side
    25,052.66x = 316,348,529.80
  5. Step 5: Solve for x
    x = 316,348,529.80/25,052.66
  6. Step 6: Final answer
    x = 12,627.34

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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.