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Finding the Fourth Proportional to 21,746.44, 32,624.70 and 7,705.72

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Solution

The fourth proportional to 21,746.44, 32,624.70 and 7,705.72 is: 11,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.44 : 32,624.70 = 7,705.72 : x
  2. Step 2: Convert to fraction form
    21,746.44/32,624.70 = 7,705.72/x
  3. Step 3: Cross multiply
    21,746.44x = 32,624.70 × 7,705.72
  4. Step 4: Simplify right side
    21,746.44x = 251,396,803.28
  5. Step 5: Solve for x
    x = 251,396,803.28/21,746.44
  6. Step 6: Final answer
    x = 11,560.37

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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.