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Finding the Fourth Proportional to 16,316.35, 22,518.15 and 9,147.48

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Solution

The fourth proportional to 16,316.35, 22,518.15 and 9,147.48 is: 12,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.35 : 22,518.15 = 9,147.48 : x
  2. Step 2: Convert to fraction form
    16,316.35/22,518.15 = 9,147.48/x
  3. Step 3: Cross multiply
    16,316.35x = 22,518.15 × 9,147.48
  4. Step 4: Simplify right side
    16,316.35x = 205,984,208.02
  5. Step 5: Solve for x
    x = 205,984,208.02/16,316.35
  6. Step 6: Final answer
    x = 12,624.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.