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Finding the Fourth Proportional to 16,403.44, 24,603.60 and 6,540.08

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Solution

The fourth proportional to 16,403.44, 24,603.60 and 6,540.08 is: 9,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.44 : 24,603.60 = 6,540.08 : x
  2. Step 2: Convert to fraction form
    16,403.44/24,603.60 = 6,540.08/x
  3. Step 3: Cross multiply
    16,403.44x = 24,603.60 × 6,540.08
  4. Step 4: Simplify right side
    16,403.44x = 160,909,512.29
  5. Step 5: Solve for x
    x = 160,909,512.29/16,403.44
  6. Step 6: Final answer
    x = 9,809.50

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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.