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Finding the Fourth Proportional to 16,779.84, 23,155.44 and 10,069.44

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Solution

The fourth proportional to 16,779.84, 23,155.44 and 10,069.44 is: 13,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,779.84 : 23,155.44 = 10,069.44 : x
  2. Step 2: Convert to fraction form
    16,779.84/23,155.44 = 10,069.44/x
  3. Step 3: Cross multiply
    16,779.84x = 23,155.44 × 10,069.44
  4. Step 4: Simplify right side
    16,779.84x = 233,162,313.75
  5. Step 5: Solve for x
    x = 233,162,313.75/16,779.84
  6. Step 6: Final answer
    x = 13,895.38

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Why These Related Problems?

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