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Finding the Fourth Proportional to 15,294.30, 22,941.30 and 4,906.08

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Solution

The fourth proportional to 15,294.30, 22,941.30 and 4,906.08 is: 7,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.30 : 22,941.30 = 4,906.08 : x
  2. Step 2: Convert to fraction form
    15,294.30/22,941.30 = 4,906.08/x
  3. Step 3: Cross multiply
    15,294.30x = 22,941.30 × 4,906.08
  4. Step 4: Simplify right side
    15,294.30x = 112,551,853.10
  5. Step 5: Solve for x
    x = 112,551,853.10/15,294.30
  6. Step 6: Final answer
    x = 7,359.07

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Why These Related Problems?

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