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Finding the Fourth Proportional to 23,641.83, 32,625.81 and 13,031.46

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Solution

The fourth proportional to 23,641.83, 32,625.81 and 13,031.46 is: 17,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.83 : 32,625.81 = 13,031.46 : x
  2. Step 2: Convert to fraction form
    23,641.83/32,625.81 = 13,031.46/x
  3. Step 3: Cross multiply
    23,641.83x = 32,625.81 × 13,031.46
  4. Step 4: Simplify right side
    23,641.83x = 425,161,937.98
  5. Step 5: Solve for x
    x = 425,161,937.98/23,641.83
  6. Step 6: Final answer
    x = 17,983.46

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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.