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Finding the Fourth Proportional to 24,093.64, 36,146 and 13,000.08

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Solution

The fourth proportional to 24,093.64, 36,146 and 13,000.08 is: 19,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,093.64 : 36,146 = 13,000.08 : x
  2. Step 2: Convert to fraction form
    24,093.64/36,146 = 13,000.08/x
  3. Step 3: Cross multiply
    24,093.64x = 36,146 × 13,000.08
  4. Step 4: Simplify right side
    24,093.64x = 469,900,891.68
  5. Step 5: Solve for x
    x = 469,900,891.68/24,093.64
  6. Step 6: Final answer
    x = 19,503.11

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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.