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Finding the Fourth Proportional to 17,077.46, 23,566.41 and 9,524.00

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Solution

The fourth proportional to 17,077.46, 23,566.41 and 9,524.00 is: 13,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.46 : 23,566.41 = 9,524.00 : x
  2. Step 2: Convert to fraction form
    17,077.46/23,566.41 = 9,524.00/x
  3. Step 3: Cross multiply
    17,077.46x = 23,566.41 × 9,524.00
  4. Step 4: Simplify right side
    17,077.46x = 224,446,547.76
  5. Step 5: Solve for x
    x = 224,446,547.76/17,077.46
  6. Step 6: Final answer
    x = 13,142.86

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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.