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Finding the Fourth Proportional to 14,007.78, 19,330.74 and 7,720.16

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Solution

The fourth proportional to 14,007.78, 19,330.74 and 7,720.16 is: 10,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.78 : 19,330.74 = 7,720.16 : x
  2. Step 2: Convert to fraction form
    14,007.78/19,330.74 = 7,720.16/x
  3. Step 3: Cross multiply
    14,007.78x = 19,330.74 × 7,720.16
  4. Step 4: Simplify right side
    14,007.78x = 149,236,309.06
  5. Step 5: Solve for x
    x = 149,236,309.06/14,007.78
  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.