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Finding the Fourth Proportional to 16,539, 24,809.40 and 4,853.40

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Solution

The fourth proportional to 16,539, 24,809.40 and 4,853.40 is: 7,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539 : 24,809.40 = 4,853.40 : x
  2. Step 2: Convert to fraction form
    16,539/24,809.40 = 4,853.40/x
  3. Step 3: Cross multiply
    16,539x = 24,809.40 × 4,853.40
  4. Step 4: Simplify right side
    16,539x = 120,409,941.96
  5. Step 5: Solve for x
    x = 120,409,941.96/16,539
  6. Step 6: Final answer
    x = 7,280.36

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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.