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Finding the Fourth Proportional to 16,577.91, 24,848.82 and 8,264.07

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Solution

The fourth proportional to 16,577.91, 24,848.82 and 8,264.07 is: 12,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.91 : 24,848.82 = 8,264.07 : x
  2. Step 2: Convert to fraction form
    16,577.91/24,848.82 = 8,264.07/x
  3. Step 3: Cross multiply
    16,577.91x = 24,848.82 × 8,264.07
  4. Step 4: Simplify right side
    16,577.91x = 205,352,387.90
  5. Step 5: Solve for x
    x = 205,352,387.90/16,577.91
  6. Step 6: Final answer
    x = 12,387.11

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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.