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Finding the Fourth Proportional to 16,563.13, 24,820.54 and 7,681.18

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Solution

The fourth proportional to 16,563.13, 24,820.54 and 7,681.18 is: 11,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.13 : 24,820.54 = 7,681.18 : x
  2. Step 2: Convert to fraction form
    16,563.13/24,820.54 = 7,681.18/x
  3. Step 3: Cross multiply
    16,563.13x = 24,820.54 × 7,681.18
  4. Step 4: Simplify right side
    16,563.13x = 190,651,035.44
  5. Step 5: Solve for x
    x = 190,651,035.44/16,563.13
  6. Step 6: Final answer
    x = 11,510.57

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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.