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Finding the Fourth Proportional to 16,507.85, 22,763.75 and 11,477.75

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Solution

The fourth proportional to 16,507.85, 22,763.75 and 11,477.75 is: 15,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.85 : 22,763.75 = 11,477.75 : x
  2. Step 2: Convert to fraction form
    16,507.85/22,763.75 = 11,477.75/x
  3. Step 3: Cross multiply
    16,507.85x = 22,763.75 × 11,477.75
  4. Step 4: Simplify right side
    16,507.85x = 261,276,460.36
  5. Step 5: Solve for x
    x = 261,276,460.36/16,507.85
  6. Step 6: Final answer
    x = 15,827.41

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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.