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Finding the Fourth Proportional to 16,210.50, 24,323.07 and 9,285

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Solution

The fourth proportional to 16,210.50, 24,323.07 and 9,285 is: 13,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.50 : 24,323.07 = 9,285 : x
  2. Step 2: Convert to fraction form
    16,210.50/24,323.07 = 9,285/x
  3. Step 3: Cross multiply
    16,210.50x = 24,323.07 × 9,285
  4. Step 4: Simplify right side
    16,210.50x = 225,839,704.95
  5. Step 5: Solve for x
    x = 225,839,704.95/16,210.50
  6. Step 6: Final answer
    x = 13,931.69

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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.