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Finding the Fourth Proportional to 13,586.17, 18,749.87 and 7,538.39

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Solution

The fourth proportional to 13,586.17, 18,749.87 and 7,538.39 is: 10,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.17 : 18,749.87 = 7,538.39 : x
  2. Step 2: Convert to fraction form
    13,586.17/18,749.87 = 7,538.39/x
  3. Step 3: Cross multiply
    13,586.17x = 18,749.87 × 7,538.39
  4. Step 4: Simplify right side
    13,586.17x = 141,343,757.61
  5. Step 5: Solve for x
    x = 141,343,757.61/13,586.17
  6. Step 6: Final answer
    x = 10,403.50

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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.