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Finding the Fourth Proportional to 23,798.58, 32,841.12 and 13,188.42

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Solution

The fourth proportional to 23,798.58, 32,841.12 and 13,188.42 is: 18,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.58 : 32,841.12 = 13,188.42 : x
  2. Step 2: Convert to fraction form
    23,798.58/32,841.12 = 13,188.42/x
  3. Step 3: Cross multiply
    23,798.58x = 32,841.12 × 13,188.42
  4. Step 4: Simplify right side
    23,798.58x = 433,122,483.83
  5. Step 5: Solve for x
    x = 433,122,483.83/23,798.58
  6. Step 6: Final answer
    x = 18,199.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.