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Finding the Fourth Proportional to 12,984.24, 17,916.93 and 7,678.02

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Solution

The fourth proportional to 12,984.24, 17,916.93 and 7,678.02 is: 10,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.24 : 17,916.93 = 7,678.02 : x
  2. Step 2: Convert to fraction form
    12,984.24/17,916.93 = 7,678.02/x
  3. Step 3: Cross multiply
    12,984.24x = 17,916.93 × 7,678.02
  4. Step 4: Simplify right side
    12,984.24x = 137,566,546.88
  5. Step 5: Solve for x
    x = 137,566,546.88/12,984.24
  6. Step 6: Final answer
    x = 10,594.89

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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.