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Finding the Fourth Proportional to 14,533.78, 20,062.70 and 12,307.18

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Solution

The fourth proportional to 14,533.78, 20,062.70 and 12,307.18 is: 16,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.78 : 20,062.70 = 12,307.18 : x
  2. Step 2: Convert to fraction form
    14,533.78/20,062.70 = 12,307.18/x
  3. Step 3: Cross multiply
    14,533.78x = 20,062.70 × 12,307.18
  4. Step 4: Simplify right side
    14,533.78x = 246,915,240.80
  5. Step 5: Solve for x
    x = 246,915,240.80/14,533.78
  6. Step 6: Final answer
    x = 16,989.06

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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.