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Finding the Fourth Proportional to 30,856.40, 46,286.20 and 9,798.09

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Solution

The fourth proportional to 30,856.40, 46,286.20 and 9,798.09 is: 14,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.40 : 46,286.20 = 9,798.09 : x
  2. Step 2: Convert to fraction form
    30,856.40/46,286.20 = 9,798.09/x
  3. Step 3: Cross multiply
    30,856.40x = 46,286.20 × 9,798.09
  4. Step 4: Simplify right side
    30,856.40x = 453,516,353.36
  5. Step 5: Solve for x
    x = 453,516,353.36/30,856.40
  6. Step 6: Final answer
    x = 14,697.64

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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.