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Finding the Fourth Proportional to 16,962.80, 23,405.86 and 9,407.93

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Solution

The fourth proportional to 16,962.80, 23,405.86 and 9,407.93 is: 12,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962.80 : 23,405.86 = 9,407.93 : x
  2. Step 2: Convert to fraction form
    16,962.80/23,405.86 = 9,407.93/x
  3. Step 3: Cross multiply
    16,962.80x = 23,405.86 × 9,407.93
  4. Step 4: Simplify right side
    16,962.80x = 220,200,718.86
  5. Step 5: Solve for x
    x = 220,200,718.86/16,962.80
  6. Step 6: Final answer
    x = 12,981.39

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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.