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Finding the Fourth Proportional to 23,559, 32,497.80 and 14,122.10

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Solution

The fourth proportional to 23,559, 32,497.80 and 14,122.10 is: 19,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559 : 32,497.80 = 14,122.10 : x
  2. Step 2: Convert to fraction form
    23,559/32,497.80 = 14,122.10/x
  3. Step 3: Cross multiply
    23,559x = 32,497.80 × 14,122.10
  4. Step 4: Simplify right side
    23,559x = 458,937,181.38
  5. Step 5: Solve for x
    x = 458,937,181.38/23,559
  6. Step 6: Final answer
    x = 19,480.33

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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.