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Finding the Fourth Proportional to 17,570.10, 24,249.06 and 10,019.16

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Solution

The fourth proportional to 17,570.10, 24,249.06 and 10,019.16 is: 13,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570.10 : 24,249.06 = 10,019.16 : x
  2. Step 2: Convert to fraction form
    17,570.10/24,249.06 = 10,019.16/x
  3. Step 3: Cross multiply
    17,570.10x = 24,249.06 × 10,019.16
  4. Step 4: Simplify right side
    17,570.10x = 242,955,211.99
  5. Step 5: Solve for x
    x = 242,955,211.99/17,570.10
  6. Step 6: Final answer
    x = 13,827.76

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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.