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Finding the Fourth Proportional to 23,737.16, 35,613.53 and 9,708.98

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Solution

The fourth proportional to 23,737.16, 35,613.53 and 9,708.98 is: 14,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.16 : 35,613.53 = 9,708.98 : x
  2. Step 2: Convert to fraction form
    23,737.16/35,613.53 = 9,708.98/x
  3. Step 3: Cross multiply
    23,737.16x = 35,613.53 × 9,708.98
  4. Step 4: Simplify right side
    23,737.16x = 345,771,050.50
  5. Step 5: Solve for x
    x = 345,771,050.50/23,737.16
  6. Step 6: Final answer
    x = 14,566.66

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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.