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Finding the Fourth Proportional to 14,632.16, 20,186.74 and 10,153.67

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Solution

The fourth proportional to 14,632.16, 20,186.74 and 10,153.67 is: 14,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.16 : 20,186.74 = 10,153.67 : x
  2. Step 2: Convert to fraction form
    14,632.16/20,186.74 = 10,153.67/x
  3. Step 3: Cross multiply
    14,632.16x = 20,186.74 × 10,153.67
  4. Step 4: Simplify right side
    14,632.16x = 204,969,464.53
  5. Step 5: Solve for x
    x = 204,969,464.53/14,632.16
  6. Step 6: Final answer
    x = 14,008.15

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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.