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Finding the Fourth Proportional to 16,297.12, 22,490 and 8,845.12

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Solution

The fourth proportional to 16,297.12, 22,490 and 8,845.12 is: 12,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.12 : 22,490 = 8,845.12 : x
  2. Step 2: Convert to fraction form
    16,297.12/22,490 = 8,845.12/x
  3. Step 3: Cross multiply
    16,297.12x = 22,490 × 8,845.12
  4. Step 4: Simplify right side
    16,297.12x = 198,926,748.80
  5. Step 5: Solve for x
    x = 198,926,748.80/16,297.12
  6. Step 6: Final answer
    x = 12,206.25

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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.