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Finding the Fourth Proportional to 24,023.34, 36,034.56 and 14,097.11

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Solution

The fourth proportional to 24,023.34, 36,034.56 and 14,097.11 is: 21,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023.34 : 36,034.56 = 14,097.11 : x
  2. Step 2: Convert to fraction form
    24,023.34/36,034.56 = 14,097.11/x
  3. Step 3: Cross multiply
    24,023.34x = 36,034.56 × 14,097.11
  4. Step 4: Simplify right side
    24,023.34x = 507,982,975.95
  5. Step 5: Solve for x
    x = 507,982,975.95/24,023.34
  6. Step 6: Final answer
    x = 21,145.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.