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Finding the Fourth Proportional to 23,828.18, 35,717.04 and 8,018.16

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Solution

The fourth proportional to 23,828.18, 35,717.04 and 8,018.16 is: 12,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.18 : 35,717.04 = 8,018.16 : x
  2. Step 2: Convert to fraction form
    23,828.18/35,717.04 = 8,018.16/x
  3. Step 3: Cross multiply
    23,828.18x = 35,717.04 × 8,018.16
  4. Step 4: Simplify right side
    23,828.18x = 286,384,941.45
  5. Step 5: Solve for x
    x = 286,384,941.45/23,828.18
  6. Step 6: Final answer
    x = 12,018.75

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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.