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Finding the Fourth Proportional to 23,057.16, 34,599.74 and 9,205

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Solution

The fourth proportional to 23,057.16, 34,599.74 and 9,205 is: 13,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.16 : 34,599.74 = 9,205 : x
  2. Step 2: Convert to fraction form
    23,057.16/34,599.74 = 9,205/x
  3. Step 3: Cross multiply
    23,057.16x = 34,599.74 × 9,205
  4. Step 4: Simplify right side
    23,057.16x = 318,490,606.70
  5. Step 5: Solve for x
    x = 318,490,606.70/23,057.16
  6. Step 6: Final answer
    x = 13,813.09

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Why These Related Problems?

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