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Finding the Fourth Proportional to 17,929.32, 24,733.26 and 10,473

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Solution

The fourth proportional to 17,929.32, 24,733.26 and 10,473 is: 14,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.32 : 24,733.26 = 10,473 : x
  2. Step 2: Convert to fraction form
    17,929.32/24,733.26 = 10,473/x
  3. Step 3: Cross multiply
    17,929.32x = 24,733.26 × 10,473
  4. Step 4: Simplify right side
    17,929.32x = 259,031,431.98
  5. Step 5: Solve for x
    x = 259,031,431.98/17,929.32
  6. Step 6: Final answer
    x = 14,447.37

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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.