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Finding the Fourth Proportional to 14,260.28, 19,678.86 and 7,973.24

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Solution

The fourth proportional to 14,260.28, 19,678.86 and 7,973.24 is: 11,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.28 : 19,678.86 = 7,973.24 : x
  2. Step 2: Convert to fraction form
    14,260.28/19,678.86 = 7,973.24/x
  3. Step 3: Cross multiply
    14,260.28x = 19,678.86 × 7,973.24
  4. Step 4: Simplify right side
    14,260.28x = 156,904,273.71
  5. Step 5: Solve for x
    x = 156,904,273.71/14,260.28
  6. Step 6: Final answer
    x = 11,002.89

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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.