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Finding the Fourth Proportional to 14,227.32, 19,624.14 and 9,259.32

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Solution

The fourth proportional to 14,227.32, 19,624.14 and 9,259.32 is: 12,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.32 : 19,624.14 = 9,259.32 : x
  2. Step 2: Convert to fraction form
    14,227.32/19,624.14 = 9,259.32/x
  3. Step 3: Cross multiply
    14,227.32x = 19,624.14 × 9,259.32
  4. Step 4: Simplify right side
    14,227.32x = 181,706,191.98
  5. Step 5: Solve for x
    x = 181,706,191.98/14,227.32
  6. Step 6: Final answer
    x = 12,771.64

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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.