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Finding the Fourth Proportional to 14,384.39, 21,579.78 and 5,619.38

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Solution

The fourth proportional to 14,384.39, 21,579.78 and 5,619.38 is: 8,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.39 : 21,579.78 = 5,619.38 : x
  2. Step 2: Convert to fraction form
    14,384.39/21,579.78 = 5,619.38/x
  3. Step 3: Cross multiply
    14,384.39x = 21,579.78 × 5,619.38
  4. Step 4: Simplify right side
    14,384.39x = 121,264,897.31
  5. Step 5: Solve for x
    x = 121,264,897.31/14,384.39
  6. Step 6: Final answer
    x = 8,430.32

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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.