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Finding the Fourth Proportional to 14,259.28, 19,678.44 and 7,971.66

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Solution

The fourth proportional to 14,259.28, 19,678.44 and 7,971.66 is: 11,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.28 : 19,678.44 = 7,971.66 : x
  2. Step 2: Convert to fraction form
    14,259.28/19,678.44 = 7,971.66/x
  3. Step 3: Cross multiply
    14,259.28x = 19,678.44 × 7,971.66
  4. Step 4: Simplify right side
    14,259.28x = 156,869,833.01
  5. Step 5: Solve for x
    x = 156,869,833.01/14,259.28
  6. Step 6: Final answer
    x = 11,001.25

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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.