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Finding the Fourth Proportional to 17,578.34, 24,254.35 and 10,410.51

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Solution

The fourth proportional to 17,578.34, 24,254.35 and 10,410.51 is: 14,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.34 : 24,254.35 = 10,410.51 : x
  2. Step 2: Convert to fraction form
    17,578.34/24,254.35 = 10,410.51/x
  3. Step 3: Cross multiply
    17,578.34x = 24,254.35 × 10,410.51
  4. Step 4: Simplify right side
    17,578.34x = 252,500,153.22
  5. Step 5: Solve for x
    x = 252,500,153.22/17,578.34
  6. Step 6: Final answer
    x = 14,364.28

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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.