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Finding the Fourth Proportional to 13,333.86, 19,993.94 and 7,798.02

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Solution

The fourth proportional to 13,333.86, 19,993.94 and 7,798.02 is: 11,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.86 : 19,993.94 = 7,798.02 : x
  2. Step 2: Convert to fraction form
    13,333.86/19,993.94 = 7,798.02/x
  3. Step 3: Cross multiply
    13,333.86x = 19,993.94 × 7,798.02
  4. Step 4: Simplify right side
    13,333.86x = 155,913,144.00
  5. Step 5: Solve for x
    x = 155,913,144.00/13,333.86
  6. Step 6: Final answer
    x = 11,693.02

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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.