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Finding the Fourth Proportional to 35,638.32, 53,456.92 and 12,264.96

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Solution

The fourth proportional to 35,638.32, 53,456.92 and 12,264.96 is: 18,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.32 : 53,456.92 = 12,264.96 : x
  2. Step 2: Convert to fraction form
    35,638.32/53,456.92 = 12,264.96/x
  3. Step 3: Cross multiply
    35,638.32x = 53,456.92 × 12,264.96
  4. Step 4: Simplify right side
    35,638.32x = 655,646,985.52
  5. Step 5: Solve for x
    x = 655,646,985.52/35,638.32
  6. Step 6: Final answer
    x = 18,397.25

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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.