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Finding the Fourth Proportional to 21,820.87, 32,700.80 and 11,804.00

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Solution

The fourth proportional to 21,820.87, 32,700.80 and 11,804.00 is: 17,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820.87 : 32,700.80 = 11,804.00 : x
  2. Step 2: Convert to fraction form
    21,820.87/32,700.80 = 11,804.00/x
  3. Step 3: Cross multiply
    21,820.87x = 32,700.80 × 11,804.00
  4. Step 4: Simplify right side
    21,820.87x = 386,000,109.21
  5. Step 5: Solve for x
    x = 386,000,109.21/21,820.87
  6. Step 6: Final answer
    x = 17,689.49

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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.