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Finding the Fourth Proportional to 19,707.80, 29,575.08 and 8,023.14

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Solution

The fourth proportional to 19,707.80, 29,575.08 and 8,023.14 is: 12,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.80 : 29,575.08 = 8,023.14 : x
  2. Step 2: Convert to fraction form
    19,707.80/29,575.08 = 8,023.14/x
  3. Step 3: Cross multiply
    19,707.80x = 29,575.08 × 8,023.14
  4. Step 4: Simplify right side
    19,707.80x = 237,285,007.35
  5. Step 5: Solve for x
    x = 237,285,007.35/19,707.80
  6. Step 6: Final answer
    x = 12,040.16

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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.