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Finding the Fourth Proportional to 21,690.48, 32,540.74 and 9,210.92

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Solution

The fourth proportional to 21,690.48, 32,540.74 and 9,210.92 is: 13,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.48 : 32,540.74 = 9,210.92 : x
  2. Step 2: Convert to fraction form
    21,690.48/32,540.74 = 9,210.92/x
  3. Step 3: Cross multiply
    21,690.48x = 32,540.74 × 9,210.92
  4. Step 4: Simplify right side
    21,690.48x = 299,729,967.15
  5. Step 5: Solve for x
    x = 299,729,967.15/21,690.48
  6. Step 6: Final answer
    x = 13,818.50

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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.