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Finding the Fourth Proportional to 17,302.91, 23,878.02 and 9,345.14

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Solution

The fourth proportional to 17,302.91, 23,878.02 and 9,345.14 is: 12,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.91 : 23,878.02 = 9,345.14 : x
  2. Step 2: Convert to fraction form
    17,302.91/23,878.02 = 9,345.14/x
  3. Step 3: Cross multiply
    17,302.91x = 23,878.02 × 9,345.14
  4. Step 4: Simplify right side
    17,302.91x = 223,143,439.82
  5. Step 5: Solve for x
    x = 223,143,439.82/17,302.91
  6. Step 6: Final answer
    x = 12,896.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.