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Finding the Fourth Proportional to 15,209.69, 22,808.73 and 7,310

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Solution

The fourth proportional to 15,209.69, 22,808.73 and 7,310 is: 10,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.69 : 22,808.73 = 7,310 : x
  2. Step 2: Convert to fraction form
    15,209.69/22,808.73 = 7,310/x
  3. Step 3: Cross multiply
    15,209.69x = 22,808.73 × 7,310
  4. Step 4: Simplify right side
    15,209.69x = 166,731,816.30
  5. Step 5: Solve for x
    x = 166,731,816.30/15,209.69
  6. Step 6: Final answer
    x = 10,962.21

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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.