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Finding the Fourth Proportional to 14,438.25, 21,594.84 and 8,500.98

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Solution

The fourth proportional to 14,438.25, 21,594.84 and 8,500.98 is: 12,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.25 : 21,594.84 = 8,500.98 : x
  2. Step 2: Convert to fraction form
    14,438.25/21,594.84 = 8,500.98/x
  3. Step 3: Cross multiply
    14,438.25x = 21,594.84 × 8,500.98
  4. Step 4: Simplify right side
    14,438.25x = 183,577,352.05
  5. Step 5: Solve for x
    x = 183,577,352.05/14,438.25
  6. Step 6: Final answer
    x = 12,714.65

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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.