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Finding the Fourth Proportional to 36,212, 54,315.56 and 9,916.98

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Solution

The fourth proportional to 36,212, 54,315.56 and 9,916.98 is: 14,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212 : 54,315.56 = 9,916.98 : x
  2. Step 2: Convert to fraction form
    36,212/54,315.56 = 9,916.98/x
  3. Step 3: Cross multiply
    36,212x = 54,315.56 × 9,916.98
  4. Step 4: Simplify right side
    36,212x = 538,646,322.21
  5. Step 5: Solve for x
    x = 538,646,322.21/36,212
  6. Step 6: Final answer
    x = 14,874.80

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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.