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Finding the Fourth Proportional to 17,622.66, 24,319.16 and 10,071.30

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Solution

The fourth proportional to 17,622.66, 24,319.16 and 10,071.30 is: 13,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.66 : 24,319.16 = 10,071.30 : x
  2. Step 2: Convert to fraction form
    17,622.66/24,319.16 = 10,071.30/x
  3. Step 3: Cross multiply
    17,622.66x = 24,319.16 × 10,071.30
  4. Step 4: Simplify right side
    17,622.66x = 244,925,505.75
  5. Step 5: Solve for x
    x = 244,925,505.75/17,622.66
  6. Step 6: Final answer
    x = 13,898.33

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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.