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Finding the Fourth Proportional to 22,611.91, 31,188.16 and 14,946.28

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Solution

The fourth proportional to 22,611.91, 31,188.16 and 14,946.28 is: 20,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.91 : 31,188.16 = 14,946.28 : x
  2. Step 2: Convert to fraction form
    22,611.91/31,188.16 = 14,946.28/x
  3. Step 3: Cross multiply
    22,611.91x = 31,188.16 × 14,946.28
  4. Step 4: Simplify right side
    22,611.91x = 466,147,079.50
  5. Step 5: Solve for x
    x = 466,147,079.50/22,611.91
  6. Step 6: Final answer
    x = 20,615.11

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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.