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Finding the Fourth Proportional to 24,838, 34,259.08 and 16,337.44

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Solution

The fourth proportional to 24,838, 34,259.08 and 16,337.44 is: 22,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838 : 34,259.08 = 16,337.44 : x
  2. Step 2: Convert to fraction form
    24,838/34,259.08 = 16,337.44/x
  3. Step 3: Cross multiply
    24,838x = 34,259.08 × 16,337.44
  4. Step 4: Simplify right side
    24,838x = 559,705,663.96
  5. Step 5: Solve for x
    x = 559,705,663.96/24,838
  6. Step 6: Final answer
    x = 22,534.25

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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.