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Finding the Fourth Proportional to 13,031.74, 19,543.20 and 4,264.48

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Solution

The fourth proportional to 13,031.74, 19,543.20 and 4,264.48 is: 6,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.74 : 19,543.20 = 4,264.48 : x
  2. Step 2: Convert to fraction form
    13,031.74/19,543.20 = 4,264.48/x
  3. Step 3: Cross multiply
    13,031.74x = 19,543.20 × 4,264.48
  4. Step 4: Simplify right side
    13,031.74x = 83,341,585.54
  5. Step 5: Solve for x
    x = 83,341,585.54/13,031.74
  6. Step 6: Final answer
    x = 6,395.28

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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.