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Finding the Fourth Proportional to 14,775.89, 22,167.94 and 8,206.69

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Solution

The fourth proportional to 14,775.89, 22,167.94 and 8,206.69 is: 12,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.89 : 22,167.94 = 8,206.69 : x
  2. Step 2: Convert to fraction form
    14,775.89/22,167.94 = 8,206.69/x
  3. Step 3: Cross multiply
    14,775.89x = 22,167.94 × 8,206.69
  4. Step 4: Simplify right side
    14,775.89x = 181,925,411.52
  5. Step 5: Solve for x
    x = 181,925,411.52/14,775.89
  6. Step 6: Final answer
    x = 12,312.31

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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.