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Finding the Fourth Proportional to 13,441.23, 18,547.86 and 7,471.95

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Solution

The fourth proportional to 13,441.23, 18,547.86 and 7,471.95 is: 10,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.23 : 18,547.86 = 7,471.95 : x
  2. Step 2: Convert to fraction form
    13,441.23/18,547.86 = 7,471.95/x
  3. Step 3: Cross multiply
    13,441.23x = 18,547.86 × 7,471.95
  4. Step 4: Simplify right side
    13,441.23x = 138,588,682.53
  5. Step 5: Solve for x
    x = 138,588,682.53/13,441.23
  6. Step 6: Final answer
    x = 10,310.71

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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.