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Finding the Fourth Proportional to 14,400.84, 19,874.31 and 8,029.50

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Solution

The fourth proportional to 14,400.84, 19,874.31 and 8,029.50 is: 11,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.84 : 19,874.31 = 8,029.50 : x
  2. Step 2: Convert to fraction form
    14,400.84/19,874.31 = 8,029.50/x
  3. Step 3: Cross multiply
    14,400.84x = 19,874.31 × 8,029.50
  4. Step 4: Simplify right side
    14,400.84x = 159,580,880.36
  5. Step 5: Solve for x
    x = 159,580,880.36/14,400.84
  6. Step 6: Final answer
    x = 11,081.36

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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.