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Finding the Fourth Proportional to 22,325.76, 30,811.13 and 14,758.94

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Solution

The fourth proportional to 22,325.76, 30,811.13 and 14,758.94 is: 20,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325.76 : 30,811.13 = 14,758.94 : x
  2. Step 2: Convert to fraction form
    22,325.76/30,811.13 = 14,758.94/x
  3. Step 3: Cross multiply
    22,325.76x = 30,811.13 × 14,758.94
  4. Step 4: Simplify right side
    22,325.76x = 454,739,732.93
  5. Step 5: Solve for x
    x = 454,739,732.93/22,325.76
  6. Step 6: Final answer
    x = 20,368.39

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Why These Related Problems?

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