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Finding the Fourth Proportional to 14,902.68, 22,325.94 and 7,506.84

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Solution

The fourth proportional to 14,902.68, 22,325.94 and 7,506.84 is: 11,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.68 : 22,325.94 = 7,506.84 : x
  2. Step 2: Convert to fraction form
    14,902.68/22,325.94 = 7,506.84/x
  3. Step 3: Cross multiply
    14,902.68x = 22,325.94 × 7,506.84
  4. Step 4: Simplify right side
    14,902.68x = 167,597,259.43
  5. Step 5: Solve for x
    x = 167,597,259.43/14,902.68
  6. Step 6: Final answer
    x = 11,246.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.