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Finding the Fourth Proportional to 13,794.20, 19,036.01 and 7,506.57

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Solution

The fourth proportional to 13,794.20, 19,036.01 and 7,506.57 is: 10,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.20 : 19,036.01 = 7,506.57 : x
  2. Step 2: Convert to fraction form
    13,794.20/19,036.01 = 7,506.57/x
  3. Step 3: Cross multiply
    13,794.20x = 19,036.01 × 7,506.57
  4. Step 4: Simplify right side
    13,794.20x = 142,895,231.74
  5. Step 5: Solve for x
    x = 142,895,231.74/13,794.20
  6. Step 6: Final answer
    x = 10,359.08

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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.