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Finding the Fourth Proportional to 19,843.84, 29,762.52 and 7,360.93

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Solution

The fourth proportional to 19,843.84, 29,762.52 and 7,360.93 is: 11,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.84 : 29,762.52 = 7,360.93 : x
  2. Step 2: Convert to fraction form
    19,843.84/29,762.52 = 7,360.93/x
  3. Step 3: Cross multiply
    19,843.84x = 29,762.52 × 7,360.93
  4. Step 4: Simplify right side
    19,843.84x = 219,079,826.34
  5. Step 5: Solve for x
    x = 219,079,826.34/19,843.84
  6. Step 6: Final answer
    x = 11,040.19

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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.