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Finding the Fourth Proportional to 14,191.60, 19,582.70 and 8,222.44

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Solution

The fourth proportional to 14,191.60, 19,582.70 and 8,222.44 is: 11,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.60 : 19,582.70 = 8,222.44 : x
  2. Step 2: Convert to fraction form
    14,191.60/19,582.70 = 8,222.44/x
  3. Step 3: Cross multiply
    14,191.60x = 19,582.70 × 8,222.44
  4. Step 4: Simplify right side
    14,191.60x = 161,017,575.79
  5. Step 5: Solve for x
    x = 161,017,575.79/14,191.60
  6. Step 6: Final answer
    x = 11,345.98

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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.