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Finding the Fourth Proportional to 22,857.40, 34,343.70 and 14,541.40

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Solution

The fourth proportional to 22,857.40, 34,343.70 and 14,541.40 is: 21,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.40 : 34,343.70 = 14,541.40 : x
  2. Step 2: Convert to fraction form
    22,857.40/34,343.70 = 14,541.40/x
  3. Step 3: Cross multiply
    22,857.40x = 34,343.70 × 14,541.40
  4. Step 4: Simplify right side
    22,857.40x = 499,405,479.18
  5. Step 5: Solve for x
    x = 499,405,479.18/22,857.40
  6. Step 6: Final answer
    x = 21,848.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.