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Finding the Fourth Proportional to 15,206.34, 22,810.05 and 4,817.82

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Solution

The fourth proportional to 15,206.34, 22,810.05 and 4,817.82 is: 7,226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.34 : 22,810.05 = 4,817.82 : x
  2. Step 2: Convert to fraction form
    15,206.34/22,810.05 = 4,817.82/x
  3. Step 3: Cross multiply
    15,206.34x = 22,810.05 × 4,817.82
  4. Step 4: Simplify right side
    15,206.34x = 109,894,715.09
  5. Step 5: Solve for x
    x = 109,894,715.09/15,206.34
  6. Step 6: Final answer
    x = 7,226.90

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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.