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Finding the Fourth Proportional to 16,357.19, 22,572.92 and 8,905.19

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Solution

The fourth proportional to 16,357.19, 22,572.92 and 8,905.19 is: 12,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.19 : 22,572.92 = 8,905.19 : x
  2. Step 2: Convert to fraction form
    16,357.19/22,572.92 = 8,905.19/x
  3. Step 3: Cross multiply
    16,357.19x = 22,572.92 × 8,905.19
  4. Step 4: Simplify right side
    16,357.19x = 201,016,085.02
  5. Step 5: Solve for x
    x = 201,016,085.02/16,357.19
  6. Step 6: Final answer
    x = 12,289.16

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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.