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Finding the Fourth Proportional to 21,678.80, 32,520.12 and 9,025.76

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Solution

The fourth proportional to 21,678.80, 32,520.12 and 9,025.76 is: 13,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.80 : 32,520.12 = 9,025.76 : x
  2. Step 2: Convert to fraction form
    21,678.80/32,520.12 = 9,025.76/x
  3. Step 3: Cross multiply
    21,678.80x = 32,520.12 × 9,025.76
  4. Step 4: Simplify right side
    21,678.80x = 293,518,798.29
  5. Step 5: Solve for x
    x = 293,518,798.29/21,678.80
  6. Step 6: Final answer
    x = 13,539.44

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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.