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Finding the Fourth Proportional to 12,570.58, 18,841.29 and 5,630.50

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Solution

The fourth proportional to 12,570.58, 18,841.29 and 5,630.50 is: 8,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.58 : 18,841.29 = 5,630.50 : x
  2. Step 2: Convert to fraction form
    12,570.58/18,841.29 = 5,630.50/x
  3. Step 3: Cross multiply
    12,570.58x = 18,841.29 × 5,630.50
  4. Step 4: Simplify right side
    12,570.58x = 106,085,883.35
  5. Step 5: Solve for x
    x = 106,085,883.35/12,570.58
  6. Step 6: Final answer
    x = 8,439.22

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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.