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Finding the Fourth Proportional to 24,395.04, 33,664.68 and 16,011

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Solution

The fourth proportional to 24,395.04, 33,664.68 and 16,011 is: 22,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.04 : 33,664.68 = 16,011 : x
  2. Step 2: Convert to fraction form
    24,395.04/33,664.68 = 16,011/x
  3. Step 3: Cross multiply
    24,395.04x = 33,664.68 × 16,011
  4. Step 4: Simplify right side
    24,395.04x = 539,005,191.48
  5. Step 5: Solve for x
    x = 539,005,191.48/24,395.04
  6. Step 6: Final answer
    x = 22,094.87

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