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Finding the Fourth Proportional to 13,130.31, 18,134.95 and 9,561.23

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Solution

The fourth proportional to 13,130.31, 18,134.95 and 9,561.23 is: 13,205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.31 : 18,134.95 = 9,561.23 : x
  2. Step 2: Convert to fraction form
    13,130.31/18,134.95 = 9,561.23/x
  3. Step 3: Cross multiply
    13,130.31x = 18,134.95 × 9,561.23
  4. Step 4: Simplify right side
    13,130.31x = 173,392,427.99
  5. Step 5: Solve for x
    x = 173,392,427.99/13,130.31
  6. Step 6: Final answer
    x = 13,205.51

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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.