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Finding the Fourth Proportional to 13,230.07, 18,256.96 and 7,564.52

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Solution

The fourth proportional to 13,230.07, 18,256.96 and 7,564.52 is: 10,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.07 : 18,256.96 = 7,564.52 : x
  2. Step 2: Convert to fraction form
    13,230.07/18,256.96 = 7,564.52/x
  3. Step 3: Cross multiply
    13,230.07x = 18,256.96 × 7,564.52
  4. Step 4: Simplify right side
    13,230.07x = 138,105,139.06
  5. Step 5: Solve for x
    x = 138,105,139.06/13,230.07
  6. Step 6: Final answer
    x = 10,438.73

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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.