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Finding the Fourth Proportional to 12,814.00, 17,681.90 and 7,435.19

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Solution

The fourth proportional to 12,814.00, 17,681.90 and 7,435.19 is: 10,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.00 : 17,681.90 = 7,435.19 : x
  2. Step 2: Convert to fraction form
    12,814.00/17,681.90 = 7,435.19/x
  3. Step 3: Cross multiply
    12,814.00x = 17,681.90 × 7,435.19
  4. Step 4: Simplify right side
    12,814.00x = 131,468,293.09
  5. Step 5: Solve for x
    x = 131,468,293.09/12,814.00
  6. Step 6: Final answer
    x = 10,259.74

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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.