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Finding the Fourth Proportional to 16,822.68, 23,214.96 and 9,370.68

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Solution

The fourth proportional to 16,822.68, 23,214.96 and 9,370.68 is: 12,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.68 : 23,214.96 = 9,370.68 : x
  2. Step 2: Convert to fraction form
    16,822.68/23,214.96 = 9,370.68/x
  3. Step 3: Cross multiply
    16,822.68x = 23,214.96 × 9,370.68
  4. Step 4: Simplify right side
    16,822.68x = 217,539,961.37
  5. Step 5: Solve for x
    x = 217,539,961.37/16,822.68
  6. Step 6: Final answer
    x = 12,931.35

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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.