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Finding the Fourth Proportional to 21,652.32, 29,838.20 and 14,474.16

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Solution

The fourth proportional to 21,652.32, 29,838.20 and 14,474.16 is: 19,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.32 : 29,838.20 = 14,474.16 : x
  2. Step 2: Convert to fraction form
    21,652.32/29,838.20 = 14,474.16/x
  3. Step 3: Cross multiply
    21,652.32x = 29,838.20 × 14,474.16
  4. Step 4: Simplify right side
    21,652.32x = 431,882,880.91
  5. Step 5: Solve for x
    x = 431,882,880.91/21,652.32
  6. Step 6: Final answer
    x = 19,946.26

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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.