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Finding the Fourth Proportional to 13,213.64, 18,228.84 and 10,564.76

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Solution

The fourth proportional to 13,213.64, 18,228.84 and 10,564.76 is: 14,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.64 : 18,228.84 = 10,564.76 : x
  2. Step 2: Convert to fraction form
    13,213.64/18,228.84 = 10,564.76/x
  3. Step 3: Cross multiply
    13,213.64x = 18,228.84 × 10,564.76
  4. Step 4: Simplify right side
    13,213.64x = 192,583,319.68
  5. Step 5: Solve for x
    x = 192,583,319.68/13,213.64
  6. Step 6: Final answer
    x = 14,574.59

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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.