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Finding the Fourth Proportional to 14,210.31, 19,610.34 and 7,923.09

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Solution

The fourth proportional to 14,210.31, 19,610.34 and 7,923.09 is: 10,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.31 : 19,610.34 = 7,923.09 : x
  2. Step 2: Convert to fraction form
    14,210.31/19,610.34 = 7,923.09/x
  3. Step 3: Cross multiply
    14,210.31x = 19,610.34 × 7,923.09
  4. Step 4: Simplify right side
    14,210.31x = 155,374,488.75
  5. Step 5: Solve for x
    x = 155,374,488.75/14,210.31
  6. Step 6: Final answer
    x = 10,933.93

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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.