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Finding the Fourth Proportional to 14,002.58, 19,322.24 and 8,259.14

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Solution

The fourth proportional to 14,002.58, 19,322.24 and 8,259.14 is: 11,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.58 : 19,322.24 = 8,259.14 : x
  2. Step 2: Convert to fraction form
    14,002.58/19,322.24 = 8,259.14/x
  3. Step 3: Cross multiply
    14,002.58x = 19,322.24 × 8,259.14
  4. Step 4: Simplify right side
    14,002.58x = 159,585,085.27
  5. Step 5: Solve for x
    x = 159,585,085.27/14,002.58
  6. Step 6: Final answer
    x = 11,396.83

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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.