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Finding the Fourth Proportional to 14,184.47, 19,578.49 and 8,218.51

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Solution

The fourth proportional to 14,184.47, 19,578.49 and 8,218.51 is: 11,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.47 : 19,578.49 = 8,218.51 : x
  2. Step 2: Convert to fraction form
    14,184.47/19,578.49 = 8,218.51/x
  3. Step 3: Cross multiply
    14,184.47x = 19,578.49 × 8,218.51
  4. Step 4: Simplify right side
    14,184.47x = 160,905,946.36
  5. Step 5: Solve for x
    x = 160,905,946.36/14,184.47
  6. Step 6: Final answer
    x = 11,343.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.