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Finding the Fourth Proportional to 14,113.59, 19,475.87 and 7,825.96

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Solution

The fourth proportional to 14,113.59, 19,475.87 and 7,825.96 is: 10,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.59 : 19,475.87 = 7,825.96 : x
  2. Step 2: Convert to fraction form
    14,113.59/19,475.87 = 7,825.96/x
  3. Step 3: Cross multiply
    14,113.59x = 19,475.87 × 7,825.96
  4. Step 4: Simplify right side
    14,113.59x = 152,417,379.59
  5. Step 5: Solve for x
    x = 152,417,379.59/14,113.59
  6. Step 6: Final answer
    x = 10,799.33

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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.