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Finding the Fourth Proportional to 14,009.82, 19,333.53 and 7,722.24

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Solution

The fourth proportional to 14,009.82, 19,333.53 and 7,722.24 is: 10,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.82 : 19,333.53 = 7,722.24 : x
  2. Step 2: Convert to fraction form
    14,009.82/19,333.53 = 7,722.24/x
  3. Step 3: Cross multiply
    14,009.82x = 19,333.53 × 7,722.24
  4. Step 4: Simplify right side
    14,009.82x = 149,298,158.71
  5. Step 5: Solve for x
    x = 149,298,158.71/14,009.82
  6. Step 6: Final answer
    x = 10,656.68

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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.