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Finding the Fourth Proportional to 13,836.85, 19,094.78 and 7,549.22

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Solution

The fourth proportional to 13,836.85, 19,094.78 and 7,549.22 is: 10,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.85 : 19,094.78 = 7,549.22 : x
  2. Step 2: Convert to fraction form
    13,836.85/19,094.78 = 7,549.22/x
  3. Step 3: Cross multiply
    13,836.85x = 19,094.78 × 7,549.22
  4. Step 4: Simplify right side
    13,836.85x = 144,150,695.07
  5. Step 5: Solve for x
    x = 144,150,695.07/13,836.85
  6. Step 6: Final answer
    x = 10,417.88

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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.