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Finding the Fourth Proportional to 21,707.70, 32,565.15 and 9,233.70

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Solution

The fourth proportional to 21,707.70, 32,565.15 and 9,233.70 is: 13,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.70 : 32,565.15 = 9,233.70 : x
  2. Step 2: Convert to fraction form
    21,707.70/32,565.15 = 9,233.70/x
  3. Step 3: Cross multiply
    21,707.70x = 32,565.15 × 9,233.70
  4. Step 4: Simplify right side
    21,707.70x = 300,696,825.56
  5. Step 5: Solve for x
    x = 300,696,825.56/21,707.70
  6. Step 6: Final answer
    x = 13,852.08

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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.