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Finding the Fourth Proportional to 42,216.84, 63,325.80 and 11,052

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Solution

The fourth proportional to 42,216.84, 63,325.80 and 11,052 is: 16,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216.84 : 63,325.80 = 11,052 : x
  2. Step 2: Convert to fraction form
    42,216.84/63,325.80 = 11,052/x
  3. Step 3: Cross multiply
    42,216.84x = 63,325.80 × 11,052
  4. Step 4: Simplify right side
    42,216.84x = 699,876,741.60
  5. Step 5: Solve for x
    x = 699,876,741.60/42,216.84
  6. Step 6: Final answer
    x = 16,578.14

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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.