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Finding the Fourth Proportional to 17,570.10, 24,245.67 and 10,015.38

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Solution

The fourth proportional to 17,570.10, 24,245.67 and 10,015.38 is: 13,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570.10 : 24,245.67 = 10,015.38 : x
  2. Step 2: Convert to fraction form
    17,570.10/24,245.67 = 10,015.38/x
  3. Step 3: Cross multiply
    17,570.10x = 24,245.67 × 10,015.38
  4. Step 4: Simplify right side
    17,570.10x = 242,829,598.40
  5. Step 5: Solve for x
    x = 242,829,598.40/17,570.10
  6. Step 6: Final answer
    x = 13,820.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.