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Finding the Fourth Proportional to 13,013.96, 17,956.72 and 7,709.80

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Solution

The fourth proportional to 13,013.96, 17,956.72 and 7,709.80 is: 10,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.96 : 17,956.72 = 7,709.80 : x
  2. Step 2: Convert to fraction form
    13,013.96/17,956.72 = 7,709.80/x
  3. Step 3: Cross multiply
    13,013.96x = 17,956.72 × 7,709.80
  4. Step 4: Simplify right side
    13,013.96x = 138,442,719.86
  5. Step 5: Solve for x
    x = 138,442,719.86/13,013.96
  6. Step 6: Final answer
    x = 10,638.02

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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.