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Finding the Fourth Proportional to 13,019.76, 17,971.32 and 7,434.48

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Solution

The fourth proportional to 13,019.76, 17,971.32 and 7,434.48 is: 10,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.76 : 17,971.32 = 7,434.48 : x
  2. Step 2: Convert to fraction form
    13,019.76/17,971.32 = 7,434.48/x
  3. Step 3: Cross multiply
    13,019.76x = 17,971.32 × 7,434.48
  4. Step 4: Simplify right side
    13,019.76x = 133,607,419.11
  5. Step 5: Solve for x
    x = 133,607,419.11/13,019.76
  6. Step 6: Final answer
    x = 10,261.90

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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.