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Finding the Fourth Proportional to 12,384.70, 18,577.05 and 8,007.10

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Solution

The fourth proportional to 12,384.70, 18,577.05 and 8,007.10 is: 12,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.70 : 18,577.05 = 8,007.10 : x
  2. Step 2: Convert to fraction form
    12,384.70/18,577.05 = 8,007.10/x
  3. Step 3: Cross multiply
    12,384.70x = 18,577.05 × 8,007.10
  4. Step 4: Simplify right side
    12,384.70x = 148,748,297.06
  5. Step 5: Solve for x
    x = 148,748,297.06/12,384.70
  6. Step 6: Final answer
    x = 12,010.65

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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.