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Finding the Fourth Proportional to 12,809.75, 19,214.60 and 4,044.66

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Solution

The fourth proportional to 12,809.75, 19,214.60 and 4,044.66 is: 6,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.75 : 19,214.60 = 4,044.66 : x
  2. Step 2: Convert to fraction form
    12,809.75/19,214.60 = 4,044.66/x
  3. Step 3: Cross multiply
    12,809.75x = 19,214.60 × 4,044.66
  4. Step 4: Simplify right side
    12,809.75x = 77,716,503.81
  5. Step 5: Solve for x
    x = 77,716,503.81/12,809.75
  6. Step 6: Final answer
    x = 6,066.98

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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.