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Finding the Fourth Proportional to 14,594.84, 21,895.50 and 4,206.62

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Solution

The fourth proportional to 14,594.84, 21,895.50 and 4,206.62 is: 6,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.84 : 21,895.50 = 4,206.62 : x
  2. Step 2: Convert to fraction form
    14,594.84/21,895.50 = 4,206.62/x
  3. Step 3: Cross multiply
    14,594.84x = 21,895.50 × 4,206.62
  4. Step 4: Simplify right side
    14,594.84x = 92,106,048.21
  5. Step 5: Solve for x
    x = 92,106,048.21/14,594.84
  6. Step 6: Final answer
    x = 6,310.86

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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.