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Finding the Fourth Proportional to 23,643.41, 32,625.33 and 13,031

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Solution

The fourth proportional to 23,643.41, 32,625.33 and 13,031 is: 17,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.41 : 32,625.33 = 13,031 : x
  2. Step 2: Convert to fraction form
    23,643.41/32,625.33 = 13,031/x
  3. Step 3: Cross multiply
    23,643.41x = 32,625.33 × 13,031
  4. Step 4: Simplify right side
    23,643.41x = 425,140,675.23
  5. Step 5: Solve for x
    x = 425,140,675.23/23,643.41
  6. Step 6: Final answer
    x = 17,981.36

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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.