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Finding the Fourth Proportional to 17,523.18, 24,181.20 and 9,970.16

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Solution

The fourth proportional to 17,523.18, 24,181.20 and 9,970.16 is: 13,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.18 : 24,181.20 = 9,970.16 : x
  2. Step 2: Convert to fraction form
    17,523.18/24,181.20 = 9,970.16/x
  3. Step 3: Cross multiply
    17,523.18x = 24,181.20 × 9,970.16
  4. Step 4: Simplify right side
    17,523.18x = 241,090,312.09
  5. Step 5: Solve for x
    x = 241,090,312.09/17,523.18
  6. Step 6: Final answer
    x = 13,758.37

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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.