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Finding the Fourth Proportional to 14,289.88, 19,729.67 and 8,920.50

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Solution

The fourth proportional to 14,289.88, 19,729.67 and 8,920.50 is: 12,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.88 : 19,729.67 = 8,920.50 : x
  2. Step 2: Convert to fraction form
    14,289.88/19,729.67 = 8,920.50/x
  3. Step 3: Cross multiply
    14,289.88x = 19,729.67 × 8,920.50
  4. Step 4: Simplify right side
    14,289.88x = 175,998,521.24
  5. Step 5: Solve for x
    x = 175,998,521.24/14,289.88
  6. Step 6: Final answer
    x = 12,316.31

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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.