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Finding the Fourth Proportional to 24,097.93, 36,141.07 and 9,297.41

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Solution

The fourth proportional to 24,097.93, 36,141.07 and 9,297.41 is: 13,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.93 : 36,141.07 = 9,297.41 : x
  2. Step 2: Convert to fraction form
    24,097.93/36,141.07 = 9,297.41/x
  3. Step 3: Cross multiply
    24,097.93x = 36,141.07 × 9,297.41
  4. Step 4: Simplify right side
    24,097.93x = 336,018,159.11
  5. Step 5: Solve for x
    x = 336,018,159.11/24,097.93
  6. Step 6: Final answer
    x = 13,943.86

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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.