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Finding the Fourth Proportional to 13,775.72, 19,011 and 7,488.56

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Solution

The fourth proportional to 13,775.72, 19,011 and 7,488.56 is: 10,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.72 : 19,011 = 7,488.56 : x
  2. Step 2: Convert to fraction form
    13,775.72/19,011 = 7,488.56/x
  3. Step 3: Cross multiply
    13,775.72x = 19,011 × 7,488.56
  4. Step 4: Simplify right side
    13,775.72x = 142,365,014.16
  5. Step 5: Solve for x
    x = 142,365,014.16/13,775.72
  6. Step 6: Final answer
    x = 10,334.49

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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.