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Finding the Fourth Proportional to 14,044.28, 19,384.14 and 9,578.70

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Solution

The fourth proportional to 14,044.28, 19,384.14 and 9,578.70 is: 13,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.28 : 19,384.14 = 9,578.70 : x
  2. Step 2: Convert to fraction form
    14,044.28/19,384.14 = 9,578.70/x
  3. Step 3: Cross multiply
    14,044.28x = 19,384.14 × 9,578.70
  4. Step 4: Simplify right side
    14,044.28x = 185,674,861.82
  5. Step 5: Solve for x
    x = 185,674,861.82/14,044.28
  6. Step 6: Final answer
    x = 13,220.68

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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.