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Finding the Fourth Proportional to 16,532, 24,798.14 and 6,143.75

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Solution

The fourth proportional to 16,532, 24,798.14 and 6,143.75 is: 9,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532 : 24,798.14 = 6,143.75 : x
  2. Step 2: Convert to fraction form
    16,532/24,798.14 = 6,143.75/x
  3. Step 3: Cross multiply
    16,532x = 24,798.14 × 6,143.75
  4. Step 4: Simplify right side
    16,532x = 152,353,541.91
  5. Step 5: Solve for x
    x = 152,353,541.91/16,532
  6. Step 6: Final answer
    x = 9,215.68

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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.