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Finding the Fourth Proportional to 15,308.20, 22,962.30 and 9,476.20

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Solution

The fourth proportional to 15,308.20, 22,962.30 and 9,476.20 is: 14,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.20 : 22,962.30 = 9,476.20 : x
  2. Step 2: Convert to fraction form
    15,308.20/22,962.30 = 9,476.20/x
  3. Step 3: Cross multiply
    15,308.20x = 22,962.30 × 9,476.20
  4. Step 4: Simplify right side
    15,308.20x = 217,595,347.26
  5. Step 5: Solve for x
    x = 217,595,347.26/15,308.20
  6. Step 6: Final answer
    x = 14,214.30

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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.