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Finding the Fourth Proportional to 16,953, 23,395.14 and 10,329

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Solution

The fourth proportional to 16,953, 23,395.14 and 10,329 is: 14,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953 : 23,395.14 = 10,329 : x
  2. Step 2: Convert to fraction form
    16,953/23,395.14 = 10,329/x
  3. Step 3: Cross multiply
    16,953x = 23,395.14 × 10,329
  4. Step 4: Simplify right side
    16,953x = 241,648,401.06
  5. Step 5: Solve for x
    x = 241,648,401.06/16,953
  6. Step 6: Final answer
    x = 14,254.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.