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Finding the Fourth Proportional to 19,842.84, 29,761.02 and 7,359.93

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Solution

The fourth proportional to 19,842.84, 29,761.02 and 7,359.93 is: 11,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.84 : 29,761.02 = 7,359.93 : x
  2. Step 2: Convert to fraction form
    19,842.84/29,761.02 = 7,359.93/x
  3. Step 3: Cross multiply
    19,842.84x = 29,761.02 × 7,359.93
  4. Step 4: Simplify right side
    19,842.84x = 219,039,023.93
  5. Step 5: Solve for x
    x = 219,039,023.93/19,842.84
  6. Step 6: Final answer
    x = 11,038.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.