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Finding the Fourth Proportional to 14,062.26, 19,406.10 and 7,774.62

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Solution

The fourth proportional to 14,062.26, 19,406.10 and 7,774.62 is: 10,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.26 : 19,406.10 = 7,774.62 : x
  2. Step 2: Convert to fraction form
    14,062.26/19,406.10 = 7,774.62/x
  3. Step 3: Cross multiply
    14,062.26x = 19,406.10 × 7,774.62
  4. Step 4: Simplify right side
    14,062.26x = 150,875,053.18
  5. Step 5: Solve for x
    x = 150,875,053.18/14,062.26
  6. Step 6: Final answer
    x = 10,729.08

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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.