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Finding the Fourth Proportional to 17,747.92, 26,510.20 and 13,026.16

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Solution

The fourth proportional to 17,747.92, 26,510.20 and 13,026.16 is: 19,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.92 : 26,510.20 = 13,026.16 : x
  2. Step 2: Convert to fraction form
    17,747.92/26,510.20 = 13,026.16/x
  3. Step 3: Cross multiply
    17,747.92x = 26,510.20 × 13,026.16
  4. Step 4: Simplify right side
    17,747.92x = 345,326,106.83
  5. Step 5: Solve for x
    x = 345,326,106.83/17,747.92
  6. Step 6: Final answer
    x = 19,457.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.