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Finding the Fourth Proportional to 13,532.09, 18,674.16 and 7,564.01

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Solution

The fourth proportional to 13,532.09, 18,674.16 and 7,564.01 is: 10,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.09 : 18,674.16 = 7,564.01 : x
  2. Step 2: Convert to fraction form
    13,532.09/18,674.16 = 7,564.01/x
  3. Step 3: Cross multiply
    13,532.09x = 18,674.16 × 7,564.01
  4. Step 4: Simplify right side
    13,532.09x = 141,251,439.61
  5. Step 5: Solve for x
    x = 141,251,439.61/13,532.09
  6. Step 6: Final answer
    x = 10,438.26

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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.