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Finding the Fourth Proportional to 14,289.56, 19,702.36 and 12,296.64

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Solution

The fourth proportional to 14,289.56, 19,702.36 and 12,296.64 is: 16,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.56 : 19,702.36 = 12,296.64 : x
  2. Step 2: Convert to fraction form
    14,289.56/19,702.36 = 12,296.64/x
  3. Step 3: Cross multiply
    14,289.56x = 19,702.36 × 12,296.64
  4. Step 4: Simplify right side
    14,289.56x = 242,272,828.07
  5. Step 5: Solve for x
    x = 242,272,828.07/14,289.56
  6. Step 6: Final answer
    x = 16,954.53

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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.