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Finding the Fourth Proportional to 16,314.21, 24,461.88 and 8,706.11

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Solution

The fourth proportional to 16,314.21, 24,461.88 and 8,706.11 is: 13,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.21 : 24,461.88 = 8,706.11 : x
  2. Step 2: Convert to fraction form
    16,314.21/24,461.88 = 8,706.11/x
  3. Step 3: Cross multiply
    16,314.21x = 24,461.88 × 8,706.11
  4. Step 4: Simplify right side
    16,314.21x = 212,967,695.78
  5. Step 5: Solve for x
    x = 212,967,695.78/16,314.21
  6. Step 6: Final answer
    x = 13,054.13

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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.