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Finding the Fourth Proportional to 15,300, 22,948.56 and 4,911.84

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Solution

The fourth proportional to 15,300, 22,948.56 and 4,911.84 is: 7,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300 : 22,948.56 = 4,911.84 : x
  2. Step 2: Convert to fraction form
    15,300/22,948.56 = 4,911.84/x
  3. Step 3: Cross multiply
    15,300x = 22,948.56 × 4,911.84
  4. Step 4: Simplify right side
    15,300x = 112,719,654.95
  5. Step 5: Solve for x
    x = 112,719,654.95/15,300
  6. Step 6: Final answer
    x = 7,367.30

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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.