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Finding the Fourth Proportional to 13,810.30, 20,703.84 and 6,013.24

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Solution

The fourth proportional to 13,810.30, 20,703.84 and 6,013.24 is: 9,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.30 : 20,703.84 = 6,013.24 : x
  2. Step 2: Convert to fraction form
    13,810.30/20,703.84 = 6,013.24/x
  3. Step 3: Cross multiply
    13,810.30x = 20,703.84 × 6,013.24
  4. Step 4: Simplify right side
    13,810.30x = 124,497,158.84
  5. Step 5: Solve for x
    x = 124,497,158.84/13,810.30
  6. Step 6: Final answer
    x = 9,014.80

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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.