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Finding the Fourth Proportional to 21,830.96, 32,746.44 and 9,342.89

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Solution

The fourth proportional to 21,830.96, 32,746.44 and 9,342.89 is: 14,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.96 : 32,746.44 = 9,342.89 : x
  2. Step 2: Convert to fraction form
    21,830.96/32,746.44 = 9,342.89/x
  3. Step 3: Cross multiply
    21,830.96x = 32,746.44 × 9,342.89
  4. Step 4: Simplify right side
    21,830.96x = 305,946,355.50
  5. Step 5: Solve for x
    x = 305,946,355.50/21,830.96
  6. Step 6: Final answer
    x = 14,014.33

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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.