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Finding the Fourth Proportional to 16,085.84, 24,085.02 and 13,607.24

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Solution

The fourth proportional to 16,085.84, 24,085.02 and 13,607.24 is: 20,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.84 : 24,085.02 = 13,607.24 : x
  2. Step 2: Convert to fraction form
    16,085.84/24,085.02 = 13,607.24/x
  3. Step 3: Cross multiply
    16,085.84x = 24,085.02 × 13,607.24
  4. Step 4: Simplify right side
    16,085.84x = 327,730,647.54
  5. Step 5: Solve for x
    x = 327,730,647.54/16,085.84
  6. Step 6: Final answer
    x = 20,373.86

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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.