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Finding the Fourth Proportional to 21,341.60, 32,008.80 and 6,546.50

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Solution

The fourth proportional to 21,341.60, 32,008.80 and 6,546.50 is: 9,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.60 : 32,008.80 = 6,546.50 : x
  2. Step 2: Convert to fraction form
    21,341.60/32,008.80 = 6,546.50/x
  3. Step 3: Cross multiply
    21,341.60x = 32,008.80 × 6,546.50
  4. Step 4: Simplify right side
    21,341.60x = 209,545,609.20
  5. Step 5: Solve for x
    x = 209,545,609.20/21,341.60
  6. Step 6: Final answer
    x = 9,818.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.