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Finding the Fourth Proportional to 16,323, 24,484.98 and 4,011

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Solution

The fourth proportional to 16,323, 24,484.98 and 4,011 is: 6,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323 : 24,484.98 = 4,011 : x
  2. Step 2: Convert to fraction form
    16,323/24,484.98 = 4,011/x
  3. Step 3: Cross multiply
    16,323x = 24,484.98 × 4,011
  4. Step 4: Simplify right side
    16,323x = 98,209,254.78
  5. Step 5: Solve for x
    x = 98,209,254.78/16,323
  6. Step 6: Final answer
    x = 6,016.62

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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.