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Finding the Fourth Proportional to 23,807.84, 32,854.84 and 13,197.60

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Solution

The fourth proportional to 23,807.84, 32,854.84 and 13,197.60 is: 18,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.84 : 32,854.84 = 13,197.60 : x
  2. Step 2: Convert to fraction form
    23,807.84/32,854.84 = 13,197.60/x
  3. Step 3: Cross multiply
    23,807.84x = 32,854.84 × 13,197.60
  4. Step 4: Simplify right side
    23,807.84x = 433,605,036.38
  5. Step 5: Solve for x
    x = 433,605,036.38/23,807.84
  6. Step 6: Final answer
    x = 18,212.70

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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.