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Finding the Fourth Proportional to 14,406.86, 19,878.46 and 8,744.58

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Solution

The fourth proportional to 14,406.86, 19,878.46 and 8,744.58 is: 12,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.86 : 19,878.46 = 8,744.58 : x
  2. Step 2: Convert to fraction form
    14,406.86/19,878.46 = 8,744.58/x
  3. Step 3: Cross multiply
    14,406.86x = 19,878.46 × 8,744.58
  4. Step 4: Simplify right side
    14,406.86x = 173,828,866.98
  5. Step 5: Solve for x
    x = 173,828,866.98/14,406.86
  6. Step 6: Final answer
    x = 12,065.70

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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.