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Finding the Fourth Proportional to 14,115.96, 19,479.15 and 7,828.74

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Solution

The fourth proportional to 14,115.96, 19,479.15 and 7,828.74 is: 10,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.96 : 19,479.15 = 7,828.74 : x
  2. Step 2: Convert to fraction form
    14,115.96/19,479.15 = 7,828.74/x
  3. Step 3: Cross multiply
    14,115.96x = 19,479.15 × 7,828.74
  4. Step 4: Simplify right side
    14,115.96x = 152,497,200.77
  5. Step 5: Solve for x
    x = 152,497,200.77/14,115.96
  6. Step 6: Final answer
    x = 10,803.18

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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.