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Finding the Fourth Proportional to 14,652.92, 20,216.93 and 9,202.58

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Solution

The fourth proportional to 14,652.92, 20,216.93 and 9,202.58 is: 12,696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.92 : 20,216.93 = 9,202.58 : x
  2. Step 2: Convert to fraction form
    14,652.92/20,216.93 = 9,202.58/x
  3. Step 3: Cross multiply
    14,652.92x = 20,216.93 × 9,202.58
  4. Step 4: Simplify right side
    14,652.92x = 186,047,915.68
  5. Step 5: Solve for x
    x = 186,047,915.68/14,652.92
  6. Step 6: Final answer
    x = 12,696.99

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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.