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Finding the Fourth Proportional to 14,803.84, 20,429.28 and 8,089.60

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Solution

The fourth proportional to 14,803.84, 20,429.28 and 8,089.60 is: 11,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.84 : 20,429.28 = 8,089.60 : x
  2. Step 2: Convert to fraction form
    14,803.84/20,429.28 = 8,089.60/x
  3. Step 3: Cross multiply
    14,803.84x = 20,429.28 × 8,089.60
  4. Step 4: Simplify right side
    14,803.84x = 165,264,703.49
  5. Step 5: Solve for x
    x = 165,264,703.49/14,803.84
  6. Step 6: Final answer
    x = 11,163.64

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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.