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Finding the Fourth Proportional to 30,857.15, 46,287.35 and 9,798.87

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Solution

The fourth proportional to 30,857.15, 46,287.35 and 9,798.87 is: 14,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.15 : 46,287.35 = 9,798.87 : x
  2. Step 2: Convert to fraction form
    30,857.15/46,287.35 = 9,798.87/x
  3. Step 3: Cross multiply
    30,857.15x = 46,287.35 × 9,798.87
  4. Step 4: Simplify right side
    30,857.15x = 453,563,886.62
  5. Step 5: Solve for x
    x = 453,563,886.62/30,857.15
  6. Step 6: Final answer
    x = 14,698.83

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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.