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Finding the Fourth Proportional to 14,007.82, 19,330.69 and 7,720.20

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Solution

The fourth proportional to 14,007.82, 19,330.69 and 7,720.20 is: 10,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.82 : 19,330.69 = 7,720.20 : x
  2. Step 2: Convert to fraction form
    14,007.82/19,330.69 = 7,720.20/x
  3. Step 3: Cross multiply
    14,007.82x = 19,330.69 × 7,720.20
  4. Step 4: Simplify right side
    14,007.82x = 149,236,792.94
  5. Step 5: Solve for x
    x = 149,236,792.94/14,007.82
  6. Step 6: Final answer
    x = 10,653.82

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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.