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Finding the Fourth Proportional to 13,031.52, 19,543.14 and 4,264.08

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Solution

The fourth proportional to 13,031.52, 19,543.14 and 4,264.08 is: 6,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.52 : 19,543.14 = 4,264.08 : x
  2. Step 2: Convert to fraction form
    13,031.52/19,543.14 = 4,264.08/x
  3. Step 3: Cross multiply
    13,031.52x = 19,543.14 × 4,264.08
  4. Step 4: Simplify right side
    13,031.52x = 83,333,512.41
  5. Step 5: Solve for x
    x = 83,333,512.41/13,031.52
  6. Step 6: Final answer
    x = 6,394.77

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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.