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Finding the Fourth Proportional to 14,733.37, 22,097.98 and 7,711.08

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Solution

The fourth proportional to 14,733.37, 22,097.98 and 7,711.08 is: 11,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733.37 : 22,097.98 = 7,711.08 : x
  2. Step 2: Convert to fraction form
    14,733.37/22,097.98 = 7,711.08/x
  3. Step 3: Cross multiply
    14,733.37x = 22,097.98 × 7,711.08
  4. Step 4: Simplify right side
    14,733.37x = 170,399,291.62
  5. Step 5: Solve for x
    x = 170,399,291.62/14,733.37
  6. Step 6: Final answer
    x = 11,565.53

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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.