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Finding the Fourth Proportional to 24,396.04, 33,666.06 and 16,012

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Solution

The fourth proportional to 24,396.04, 33,666.06 and 16,012 is: 22,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,396.04 : 33,666.06 = 16,012 : x
  2. Step 2: Convert to fraction form
    24,396.04/33,666.06 = 16,012/x
  3. Step 3: Cross multiply
    24,396.04x = 33,666.06 × 16,012
  4. Step 4: Simplify right side
    24,396.04x = 539,060,952.72
  5. Step 5: Solve for x
    x = 539,060,952.72/24,396.04
  6. Step 6: Final answer
    x = 22,096.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.