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Finding the Fourth Proportional to 17,031.16, 23,496.33 and 12,565.63

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Solution

The fourth proportional to 17,031.16, 23,496.33 and 12,565.63 is: 17,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.16 : 23,496.33 = 12,565.63 : x
  2. Step 2: Convert to fraction form
    17,031.16/23,496.33 = 12,565.63/x
  3. Step 3: Cross multiply
    17,031.16x = 23,496.33 × 12,565.63
  4. Step 4: Simplify right side
    17,031.16x = 295,246,189.14
  5. Step 5: Solve for x
    x = 295,246,189.14/17,031.16
  6. Step 6: Final answer
    x = 17,335.65

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