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Finding the Fourth Proportional to 19,810.86, 29,697.67 and 6,653.99

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Solution

The fourth proportional to 19,810.86, 29,697.67 and 6,653.99 is: 9,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.86 : 29,697.67 = 6,653.99 : x
  2. Step 2: Convert to fraction form
    19,810.86/29,697.67 = 6,653.99/x
  3. Step 3: Cross multiply
    19,810.86x = 29,697.67 × 6,653.99
  4. Step 4: Simplify right side
    19,810.86x = 197,608,081.76
  5. Step 5: Solve for x
    x = 197,608,081.76/19,810.86
  6. Step 6: Final answer
    x = 9,974.74

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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.