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Finding the Fourth Proportional to 13,122.81, 18,108.77 and 7,533.81

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Solution

The fourth proportional to 13,122.81, 18,108.77 and 7,533.81 is: 10,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.81 : 18,108.77 = 7,533.81 : x
  2. Step 2: Convert to fraction form
    13,122.81/18,108.77 = 7,533.81/x
  3. Step 3: Cross multiply
    13,122.81x = 18,108.77 × 7,533.81
  4. Step 4: Simplify right side
    13,122.81x = 136,427,994.84
  5. Step 5: Solve for x
    x = 136,427,994.84/13,122.81
  6. Step 6: Final answer
    x = 10,396.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.