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Finding the Fourth Proportional to 13,775.49, 18,999.57 and 9,292.14

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Solution

The fourth proportional to 13,775.49, 18,999.57 and 9,292.14 is: 12,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.49 : 18,999.57 = 9,292.14 : x
  2. Step 2: Convert to fraction form
    13,775.49/18,999.57 = 9,292.14/x
  3. Step 3: Cross multiply
    13,775.49x = 18,999.57 × 9,292.14
  4. Step 4: Simplify right side
    13,775.49x = 176,546,664.38
  5. Step 5: Solve for x
    x = 176,546,664.38/13,775.49
  6. Step 6: Final answer
    x = 12,816.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.