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Finding the Fourth Proportional to 24,598.16, 36,912 and 8,801.93

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Solution

The fourth proportional to 24,598.16, 36,912 and 8,801.93 is: 13,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.16 : 36,912 = 8,801.93 : x
  2. Step 2: Convert to fraction form
    24,598.16/36,912 = 8,801.93/x
  3. Step 3: Cross multiply
    24,598.16x = 36,912 × 8,801.93
  4. Step 4: Simplify right side
    24,598.16x = 324,896,840.16
  5. Step 5: Solve for x
    x = 324,896,840.16/24,598.16
  6. Step 6: Final answer
    x = 13,208.18

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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.