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Finding the Fourth Proportional to 16,570.50, 22,867.29 and 9,118.50

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Solution

The fourth proportional to 16,570.50, 22,867.29 and 9,118.50 is: 12,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.50 : 22,867.29 = 9,118.50 : x
  2. Step 2: Convert to fraction form
    16,570.50/22,867.29 = 9,118.50/x
  3. Step 3: Cross multiply
    16,570.50x = 22,867.29 × 9,118.50
  4. Step 4: Simplify right side
    16,570.50x = 208,515,383.87
  5. Step 5: Solve for x
    x = 208,515,383.87/16,570.50
  6. Step 6: Final answer
    x = 12,583.53

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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.