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Finding the Fourth Proportional to 16,089.84, 24,137.19 and 5,699.16

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Solution

The fourth proportional to 16,089.84, 24,137.19 and 5,699.16 is: 8,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.84 : 24,137.19 = 5,699.16 : x
  2. Step 2: Convert to fraction form
    16,089.84/24,137.19 = 5,699.16/x
  3. Step 3: Cross multiply
    16,089.84x = 24,137.19 × 5,699.16
  4. Step 4: Simplify right side
    16,089.84x = 137,561,707.76
  5. Step 5: Solve for x
    x = 137,561,707.76/16,089.84
  6. Step 6: Final answer
    x = 8,549.60

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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.