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Finding the Fourth Proportional to 15,146.21, 22,723.96 and 7,755.86

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Solution

The fourth proportional to 15,146.21, 22,723.96 and 7,755.86 is: 11,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.21 : 22,723.96 = 7,755.86 : x
  2. Step 2: Convert to fraction form
    15,146.21/22,723.96 = 7,755.86/x
  3. Step 3: Cross multiply
    15,146.21x = 22,723.96 × 7,755.86
  4. Step 4: Simplify right side
    15,146.21x = 176,243,852.41
  5. Step 5: Solve for x
    x = 176,243,852.41/15,146.21
  6. Step 6: Final answer
    x = 11,636.17

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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.