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Finding the Fourth Proportional to 13,463.69, 18,573.51 and 9,486.99

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Solution

The fourth proportional to 13,463.69, 18,573.51 and 9,486.99 is: 13,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.69 : 18,573.51 = 9,486.99 : x
  2. Step 2: Convert to fraction form
    13,463.69/18,573.51 = 9,486.99/x
  3. Step 3: Cross multiply
    13,463.69x = 18,573.51 × 9,486.99
  4. Step 4: Simplify right side
    13,463.69x = 176,206,703.63
  5. Step 5: Solve for x
    x = 176,206,703.63/13,463.69
  6. Step 6: Final answer
    x = 13,087.55

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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.