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Finding the Fourth Proportional to 13,008.72, 17,954.46 and 7,703.76

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Solution

The fourth proportional to 13,008.72, 17,954.46 and 7,703.76 is: 10,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.72 : 17,954.46 = 7,703.76 : x
  2. Step 2: Convert to fraction form
    13,008.72/17,954.46 = 7,703.76/x
  3. Step 3: Cross multiply
    13,008.72x = 17,954.46 × 7,703.76
  4. Step 4: Simplify right side
    13,008.72x = 138,316,850.77
  5. Step 5: Solve for x
    x = 138,316,850.77/13,008.72
  6. Step 6: Final answer
    x = 10,632.63

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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.