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Finding the Fourth Proportional to 13,824.40, 19,077.78 and 7,536.76

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Solution

The fourth proportional to 13,824.40, 19,077.78 and 7,536.76 is: 10,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.40 : 19,077.78 = 7,536.76 : x
  2. Step 2: Convert to fraction form
    13,824.40/19,077.78 = 7,536.76/x
  3. Step 3: Cross multiply
    13,824.40x = 19,077.78 × 7,536.76
  4. Step 4: Simplify right side
    13,824.40x = 143,784,649.19
  5. Step 5: Solve for x
    x = 143,784,649.19/13,824.40
  6. Step 6: Final answer
    x = 10,400.79

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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.