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Finding the Fourth Proportional to 14,834.64, 20,471.76 and 8,547

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Solution

The fourth proportional to 14,834.64, 20,471.76 and 8,547 is: 11,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.64 : 20,471.76 = 8,547 : x
  2. Step 2: Convert to fraction form
    14,834.64/20,471.76 = 8,547/x
  3. Step 3: Cross multiply
    14,834.64x = 20,471.76 × 8,547
  4. Step 4: Simplify right side
    14,834.64x = 174,972,132.72
  5. Step 5: Solve for x
    x = 174,972,132.72/14,834.64
  6. Step 6: Final answer
    x = 11,794.84

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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.