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Finding the Fourth Proportional to 14,916.40, 22,342.20 and 12,000.40

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Solution

The fourth proportional to 14,916.40, 22,342.20 and 12,000.40 is: 17,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.40 : 22,342.20 = 12,000.40 : x
  2. Step 2: Convert to fraction form
    14,916.40/22,342.20 = 12,000.40/x
  3. Step 3: Cross multiply
    14,916.40x = 22,342.20 × 12,000.40
  4. Step 4: Simplify right side
    14,916.40x = 268,115,336.88
  5. Step 5: Solve for x
    x = 268,115,336.88/14,916.40
  6. Step 6: Final answer
    x = 17,974.53

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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.