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Finding the Fourth Proportional to 13,031.35, 19,534.17 and 5,128.93

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Solution

The fourth proportional to 13,031.35, 19,534.17 and 5,128.93 is: 7,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.35 : 19,534.17 = 5,128.93 : x
  2. Step 2: Convert to fraction form
    13,031.35/19,534.17 = 5,128.93/x
  3. Step 3: Cross multiply
    13,031.35x = 19,534.17 × 5,128.93
  4. Step 4: Simplify right side
    13,031.35x = 100,189,390.54
  5. Step 5: Solve for x
    x = 100,189,390.54/13,031.35
  6. Step 6: Final answer
    x = 7,688.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.