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Finding the Fourth Proportional to 17,464.29, 24,101.51 and 10,294.50

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Solution

The fourth proportional to 17,464.29, 24,101.51 and 10,294.50 is: 14,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.29 : 24,101.51 = 10,294.50 : x
  2. Step 2: Convert to fraction form
    17,464.29/24,101.51 = 10,294.50/x
  3. Step 3: Cross multiply
    17,464.29x = 24,101.51 × 10,294.50
  4. Step 4: Simplify right side
    17,464.29x = 248,112,994.70
  5. Step 5: Solve for x
    x = 248,112,994.70/17,464.29
  6. Step 6: Final answer
    x = 14,206.88

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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.