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Finding the Fourth Proportional to 13,697.32, 18,882.66 and 9,213.16

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Solution

The fourth proportional to 13,697.32, 18,882.66 and 9,213.16 is: 12,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.32 : 18,882.66 = 9,213.16 : x
  2. Step 2: Convert to fraction form
    13,697.32/18,882.66 = 9,213.16/x
  3. Step 3: Cross multiply
    13,697.32x = 18,882.66 × 9,213.16
  4. Step 4: Simplify right side
    13,697.32x = 173,968,967.81
  5. Step 5: Solve for x
    x = 173,968,967.81/13,697.32
  6. Step 6: Final answer
    x = 12,700.95

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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.