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Finding the Fourth Proportional to 13,337.85, 19,999.94 and 7,802.01

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Solution

The fourth proportional to 13,337.85, 19,999.94 and 7,802.01 is: 11,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337.85 : 19,999.94 = 7,802.01 : x
  2. Step 2: Convert to fraction form
    13,337.85/19,999.94 = 7,802.01/x
  3. Step 3: Cross multiply
    13,337.85x = 19,999.94 × 7,802.01
  4. Step 4: Simplify right side
    13,337.85x = 156,039,692.87
  5. Step 5: Solve for x
    x = 156,039,692.87/13,337.85
  6. Step 6: Final answer
    x = 11,699.01

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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.