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Finding the Fourth Proportional to 19,784.85, 27,303.09 and 10,832.90

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Solution

The fourth proportional to 19,784.85, 27,303.09 and 10,832.90 is: 14,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.85 : 27,303.09 = 10,832.90 : x
  2. Step 2: Convert to fraction form
    19,784.85/27,303.09 = 10,832.90/x
  3. Step 3: Cross multiply
    19,784.85x = 27,303.09 × 10,832.90
  4. Step 4: Simplify right side
    19,784.85x = 295,771,643.66
  5. Step 5: Solve for x
    x = 295,771,643.66/19,784.85
  6. Step 6: Final answer
    x = 14,949.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.