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Finding the Fourth Proportional to 34,864.57, 52,305.06 and 11,491

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Solution

The fourth proportional to 34,864.57, 52,305.06 and 11,491 is: 17,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864.57 : 52,305.06 = 11,491 : x
  2. Step 2: Convert to fraction form
    34,864.57/52,305.06 = 11,491/x
  3. Step 3: Cross multiply
    34,864.57x = 52,305.06 × 11,491
  4. Step 4: Simplify right side
    34,864.57x = 601,037,444.46
  5. Step 5: Solve for x
    x = 601,037,444.46/34,864.57
  6. Step 6: Final answer
    x = 17,239.20

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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.