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Finding the Fourth Proportional to 15,205, 22,788.78 and 10,798.60

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Solution

The fourth proportional to 15,205, 22,788.78 and 10,798.60 is: 16,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205 : 22,788.78 = 10,798.60 : x
  2. Step 2: Convert to fraction form
    15,205/22,788.78 = 10,798.60/x
  3. Step 3: Cross multiply
    15,205x = 22,788.78 × 10,798.60
  4. Step 4: Simplify right side
    15,205x = 246,086,919.71
  5. Step 5: Solve for x
    x = 246,086,919.71/15,205
  6. Step 6: Final answer
    x = 16,184.61

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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.