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Finding the Fourth Proportional to 13,686.68, 18,890.46 and 8,024.45

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Solution

The fourth proportional to 13,686.68, 18,890.46 and 8,024.45 is: 11,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.68 : 18,890.46 = 8,024.45 : x
  2. Step 2: Convert to fraction form
    13,686.68/18,890.46 = 8,024.45/x
  3. Step 3: Cross multiply
    13,686.68x = 18,890.46 × 8,024.45
  4. Step 4: Simplify right side
    13,686.68x = 151,585,457.29
  5. Step 5: Solve for x
    x = 151,585,457.29/13,686.68
  6. Step 6: Final answer
    x = 11,075.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.