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Finding the Fourth Proportional to 14,583.24, 20,124.90 and 7,959.24

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Solution

The fourth proportional to 14,583.24, 20,124.90 and 7,959.24 is: 10,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.24 : 20,124.90 = 7,959.24 : x
  2. Step 2: Convert to fraction form
    14,583.24/20,124.90 = 7,959.24/x
  3. Step 3: Cross multiply
    14,583.24x = 20,124.90 × 7,959.24
  4. Step 4: Simplify right side
    14,583.24x = 160,178,909.08
  5. Step 5: Solve for x
    x = 160,178,909.08/14,583.24
  6. Step 6: Final answer
    x = 10,983.77

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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.