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Finding the Fourth Proportional to 13,533.34, 18,674.22 and 7,564.27

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Solution

The fourth proportional to 13,533.34, 18,674.22 and 7,564.27 is: 10,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.34 : 18,674.22 = 7,564.27 : x
  2. Step 2: Convert to fraction form
    13,533.34/18,674.22 = 7,564.27/x
  3. Step 3: Cross multiply
    13,533.34x = 18,674.22 × 7,564.27
  4. Step 4: Simplify right side
    13,533.34x = 141,256,842.12
  5. Step 5: Solve for x
    x = 141,256,842.12/13,533.34
  6. Step 6: Final answer
    x = 10,437.69

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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.