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Finding the Fourth Proportional to 13,802.47, 20,692.73 and 6,005.81

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Solution

The fourth proportional to 13,802.47, 20,692.73 and 6,005.81 is: 9,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.47 : 20,692.73 = 6,005.81 : x
  2. Step 2: Convert to fraction form
    13,802.47/20,692.73 = 6,005.81/x
  3. Step 3: Cross multiply
    13,802.47x = 20,692.73 × 6,005.81
  4. Step 4: Simplify right side
    13,802.47x = 124,276,671.51
  5. Step 5: Solve for x
    x = 124,276,671.51/13,802.47
  6. Step 6: Final answer
    x = 9,003.95

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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.