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Finding the Fourth Proportional to 13,750.39, 18,975.43 and 7,462.77

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Solution

The fourth proportional to 13,750.39, 18,975.43 and 7,462.77 is: 10,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.39 : 18,975.43 = 7,462.77 : x
  2. Step 2: Convert to fraction form
    13,750.39/18,975.43 = 7,462.77/x
  3. Step 3: Cross multiply
    13,750.39x = 18,975.43 × 7,462.77
  4. Step 4: Simplify right side
    13,750.39x = 141,609,269.74
  5. Step 5: Solve for x
    x = 141,609,269.74/13,750.39
  6. Step 6: Final answer
    x = 10,298.56

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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.