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Finding the Fourth Proportional to 14,124.24, 19,491.84 and 7,837.20

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Solution

The fourth proportional to 14,124.24, 19,491.84 and 7,837.20 is: 10,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.24 : 19,491.84 = 7,837.20 : x
  2. Step 2: Convert to fraction form
    14,124.24/19,491.84 = 7,837.20/x
  3. Step 3: Cross multiply
    14,124.24x = 19,491.84 × 7,837.20
  4. Step 4: Simplify right side
    14,124.24x = 152,761,448.45
  5. Step 5: Solve for x
    x = 152,761,448.45/14,124.24
  6. Step 6: Final answer
    x = 10,815.55

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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.