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Finding the Fourth Proportional to 17,418.81, 26,127 and 7,565.16

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Solution

The fourth proportional to 17,418.81, 26,127 and 7,565.16 is: 11,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,418.81 : 26,127 = 7,565.16 : x
  2. Step 2: Convert to fraction form
    17,418.81/26,127 = 7,565.16/x
  3. Step 3: Cross multiply
    17,418.81x = 26,127 × 7,565.16
  4. Step 4: Simplify right side
    17,418.81x = 197,654,935.32
  5. Step 5: Solve for x
    x = 197,654,935.32/17,418.81
  6. Step 6: Final answer
    x = 11,347.21

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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.