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Finding the Fourth Proportional to 19,883.09, 29,823.08 and 8,790.14

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Solution

The fourth proportional to 19,883.09, 29,823.08 and 8,790.14 is: 13,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.09 : 29,823.08 = 8,790.14 : x
  2. Step 2: Convert to fraction form
    19,883.09/29,823.08 = 8,790.14/x
  3. Step 3: Cross multiply
    19,883.09x = 29,823.08 × 8,790.14
  4. Step 4: Simplify right side
    19,883.09x = 262,149,048.43
  5. Step 5: Solve for x
    x = 262,149,048.43/19,883.09
  6. Step 6: Final answer
    x = 13,184.52

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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.