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Finding the Fourth Proportional to 13,533.12, 18,675.62 and 7,564.77

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Solution

The fourth proportional to 13,533.12, 18,675.62 and 7,564.77 is: 10,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.12 : 18,675.62 = 7,564.77 : x
  2. Step 2: Convert to fraction form
    13,533.12/18,675.62 = 7,564.77/x
  3. Step 3: Cross multiply
    13,533.12x = 18,675.62 × 7,564.77
  4. Step 4: Simplify right side
    13,533.12x = 141,276,769.91
  5. Step 5: Solve for x
    x = 141,276,769.91/13,533.12
  6. Step 6: Final answer
    x = 10,439.33

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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.