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Finding the Fourth Proportional to 15,298.60, 22,945.38 and 4,909

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Solution

The fourth proportional to 15,298.60, 22,945.38 and 4,909 is: 7,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.60 : 22,945.38 = 4,909 : x
  2. Step 2: Convert to fraction form
    15,298.60/22,945.38 = 4,909/x
  3. Step 3: Cross multiply
    15,298.60x = 22,945.38 × 4,909
  4. Step 4: Simplify right side
    15,298.60x = 112,638,870.42
  5. Step 5: Solve for x
    x = 112,638,870.42/15,298.60
  6. Step 6: Final answer
    x = 7,362.69

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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.