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Finding the Fourth Proportional to 14,032.98, 19,365.75 and 7,659.90

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Solution

The fourth proportional to 14,032.98, 19,365.75 and 7,659.90 is: 10,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.98 : 19,365.75 = 7,659.90 : x
  2. Step 2: Convert to fraction form
    14,032.98/19,365.75 = 7,659.90/x
  3. Step 3: Cross multiply
    14,032.98x = 19,365.75 × 7,659.90
  4. Step 4: Simplify right side
    14,032.98x = 148,339,708.43
  5. Step 5: Solve for x
    x = 148,339,708.43/14,032.98
  6. Step 6: Final answer
    x = 10,570.79

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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.