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Finding the Fourth Proportional to 17,748, 24,492.24 and 10,297.44

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Solution

The fourth proportional to 17,748, 24,492.24 and 10,297.44 is: 14,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748 : 24,492.24 = 10,297.44 : x
  2. Step 2: Convert to fraction form
    17,748/24,492.24 = 10,297.44/x
  3. Step 3: Cross multiply
    17,748x = 24,492.24 × 10,297.44
  4. Step 4: Simplify right side
    17,748x = 252,207,371.87
  5. Step 5: Solve for x
    x = 252,207,371.87/17,748
  6. Step 6: Final answer
    x = 14,210.47

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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.