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Finding the Fourth Proportional to 24,842, 34,264.60 and 16,341.44

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Solution

The fourth proportional to 24,842, 34,264.60 and 16,341.44 is: 22,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842 : 34,264.60 = 16,341.44 : x
  2. Step 2: Convert to fraction form
    24,842/34,264.60 = 16,341.44/x
  3. Step 3: Cross multiply
    24,842x = 34,264.60 × 16,341.44
  4. Step 4: Simplify right side
    24,842x = 559,932,905.02
  5. Step 5: Solve for x
    x = 559,932,905.02/24,842
  6. Step 6: Final answer
    x = 22,539.77

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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.