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Finding the Fourth Proportional to 13,023.66, 17,971.74 and 7,358.64

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Solution

The fourth proportional to 13,023.66, 17,971.74 and 7,358.64 is: 10,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.66 : 17,971.74 = 7,358.64 : x
  2. Step 2: Convert to fraction form
    13,023.66/17,971.74 = 7,358.64/x
  3. Step 3: Cross multiply
    13,023.66x = 17,971.74 × 7,358.64
  4. Step 4: Simplify right side
    13,023.66x = 132,247,564.83
  5. Step 5: Solve for x
    x = 132,247,564.83/13,023.66
  6. Step 6: Final answer
    x = 10,154.41

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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.