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Finding the Fourth Proportional to 19,833.86, 29,730.04 and 6,681.69

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Solution

The fourth proportional to 19,833.86, 29,730.04 and 6,681.69 is: 10,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.86 : 29,730.04 = 6,681.69 : x
  2. Step 2: Convert to fraction form
    19,833.86/29,730.04 = 6,681.69/x
  3. Step 3: Cross multiply
    19,833.86x = 29,730.04 × 6,681.69
  4. Step 4: Simplify right side
    19,833.86x = 198,646,894.26
  5. Step 5: Solve for x
    x = 198,646,894.26/19,833.86
  6. Step 6: Final answer
    x = 10,015.54

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