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Finding the Fourth Proportional to 16,507.17, 22,779.90 and 9,796.08

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Solution

The fourth proportional to 16,507.17, 22,779.90 and 9,796.08 is: 13,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.17 : 22,779.90 = 9,796.08 : x
  2. Step 2: Convert to fraction form
    16,507.17/22,779.90 = 9,796.08/x
  3. Step 3: Cross multiply
    16,507.17x = 22,779.90 × 9,796.08
  4. Step 4: Simplify right side
    16,507.17x = 223,153,722.79
  5. Step 5: Solve for x
    x = 223,153,722.79/16,507.17
  6. Step 6: Final answer
    x = 13,518.59

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1.5x scale

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.