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Finding the Fourth Proportional to 13,807.76, 19,054.71 and 7,520.14

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Solution

The fourth proportional to 13,807.76, 19,054.71 and 7,520.14 is: 10,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.76 : 19,054.71 = 7,520.14 : x
  2. Step 2: Convert to fraction form
    13,807.76/19,054.71 = 7,520.14/x
  3. Step 3: Cross multiply
    13,807.76x = 19,054.71 × 7,520.14
  4. Step 4: Simplify right side
    13,807.76x = 143,294,039.22
  5. Step 5: Solve for x
    x = 143,294,039.22/13,807.76
  6. Step 6: Final answer
    x = 10,377.79

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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.