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Finding the Fourth Proportional to 16,704.60, 25,054.74 and 6,315

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Solution

The fourth proportional to 16,704.60, 25,054.74 and 6,315 is: 9,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.60 : 25,054.74 = 6,315 : x
  2. Step 2: Convert to fraction form
    16,704.60/25,054.74 = 6,315/x
  3. Step 3: Cross multiply
    16,704.60x = 25,054.74 × 6,315
  4. Step 4: Simplify right side
    16,704.60x = 158,220,683.10
  5. Step 5: Solve for x
    x = 158,220,683.10/16,704.60
  6. Step 6: Final answer
    x = 9,471.68

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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.