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Finding the Fourth Proportional to 20,588.77, 30,894.83 and 9,495.46

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Solution

The fourth proportional to 20,588.77, 30,894.83 and 9,495.46 is: 14,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.77 : 30,894.83 = 9,495.46 : x
  2. Step 2: Convert to fraction form
    20,588.77/30,894.83 = 9,495.46/x
  3. Step 3: Cross multiply
    20,588.77x = 30,894.83 × 9,495.46
  4. Step 4: Simplify right side
    20,588.77x = 293,360,649.22
  5. Step 5: Solve for x
    x = 293,360,649.22/20,588.77
  6. Step 6: Final answer
    x = 14,248.58

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1.5x scale

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.