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Finding the Fourth Proportional to 18,918, 28,374.46 and 7,823.16

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Solution

The fourth proportional to 18,918, 28,374.46 and 7,823.16 is: 11,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918 : 28,374.46 = 7,823.16 : x
  2. Step 2: Convert to fraction form
    18,918/28,374.46 = 7,823.16/x
  3. Step 3: Cross multiply
    18,918x = 28,374.46 × 7,823.16
  4. Step 4: Simplify right side
    18,918x = 221,977,920.94
  5. Step 5: Solve for x
    x = 221,977,920.94/18,918
  6. Step 6: Final answer
    x = 11,733.69

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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.