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Finding the Fourth Proportional to 19,807.64, 29,706.60 and 8,124.20

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Solution

The fourth proportional to 19,807.64, 29,706.60 and 8,124.20 is: 12,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.64 : 29,706.60 = 8,124.20 : x
  2. Step 2: Convert to fraction form
    19,807.64/29,706.60 = 8,124.20/x
  3. Step 3: Cross multiply
    19,807.64x = 29,706.60 × 8,124.20
  4. Step 4: Simplify right side
    19,807.64x = 241,342,359.72
  5. Step 5: Solve for x
    x = 241,342,359.72/19,807.64
  6. Step 6: Final answer
    x = 12,184.31

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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.