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Finding the Fourth Proportional to 27,108.46, 40,663 and 9,565.98

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Solution

The fourth proportional to 27,108.46, 40,663 and 9,565.98 is: 14,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.46 : 40,663 = 9,565.98 : x
  2. Step 2: Convert to fraction form
    27,108.46/40,663 = 9,565.98/x
  3. Step 3: Cross multiply
    27,108.46x = 40,663 × 9,565.98
  4. Step 4: Simplify right side
    27,108.46x = 388,981,444.74
  5. Step 5: Solve for x
    x = 388,981,444.74/27,108.46
  6. Step 6: Final answer
    x = 14,349.08

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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.