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Finding the Fourth Proportional to 19,707.46, 29,535.52 and 8,007

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Solution

The fourth proportional to 19,707.46, 29,535.52 and 8,007 is: 12,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.46 : 29,535.52 = 8,007 : x
  2. Step 2: Convert to fraction form
    19,707.46/29,535.52 = 8,007/x
  3. Step 3: Cross multiply
    19,707.46x = 29,535.52 × 8,007
  4. Step 4: Simplify right side
    19,707.46x = 236,490,908.64
  5. Step 5: Solve for x
    x = 236,490,908.64/19,707.46
  6. Step 6: Final answer
    x = 12,000.07

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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.