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Finding the Fourth Proportional to 24,883.29, 34,339.34 and 13,553

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Solution

The fourth proportional to 24,883.29, 34,339.34 and 13,553 is: 18,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883.29 : 34,339.34 = 13,553 : x
  2. Step 2: Convert to fraction form
    24,883.29/34,339.34 = 13,553/x
  3. Step 3: Cross multiply
    24,883.29x = 34,339.34 × 13,553
  4. Step 4: Simplify right side
    24,883.29x = 465,401,108.90
  5. Step 5: Solve for x
    x = 465,401,108.90/24,883.29
  6. Step 6: Final answer
    x = 18,703.36

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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.