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Finding the Fourth Proportional to 16,596.54, 24,868.88 and 9,580.86

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Solution

The fourth proportional to 16,596.54, 24,868.88 and 9,580.86 is: 14,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.54 : 24,868.88 = 9,580.86 : x
  2. Step 2: Convert to fraction form
    16,596.54/24,868.88 = 9,580.86/x
  3. Step 3: Cross multiply
    16,596.54x = 24,868.88 × 9,580.86
  4. Step 4: Simplify right side
    16,596.54x = 238,265,257.64
  5. Step 5: Solve for x
    x = 238,265,257.64/16,596.54
  6. Step 6: Final answer
    x = 14,356.32

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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.