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Finding the Fourth Proportional to 22,832.56, 34,256.16 and 9,695.98

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Solution

The fourth proportional to 22,832.56, 34,256.16 and 9,695.98 is: 14,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.56 : 34,256.16 = 9,695.98 : x
  2. Step 2: Convert to fraction form
    22,832.56/34,256.16 = 9,695.98/x
  3. Step 3: Cross multiply
    22,832.56x = 34,256.16 × 9,695.98
  4. Step 4: Simplify right side
    22,832.56x = 332,147,042.24
  5. Step 5: Solve for x
    x = 332,147,042.24/22,832.56
  6. Step 6: Final answer
    x = 14,547.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.