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Finding the Fourth Proportional to 13,440.36, 18,547.68 and 7,471.84

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Solution

The fourth proportional to 13,440.36, 18,547.68 and 7,471.84 is: 10,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.36 : 18,547.68 = 7,471.84 : x
  2. Step 2: Convert to fraction form
    13,440.36/18,547.68 = 7,471.84/x
  3. Step 3: Cross multiply
    13,440.36x = 18,547.68 × 7,471.84
  4. Step 4: Simplify right side
    13,440.36x = 138,585,297.33
  5. Step 5: Solve for x
    x = 138,585,297.33/13,440.36
  6. Step 6: Final answer
    x = 10,311.13

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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.