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Finding the Fourth Proportional to 25,220.93, 37,830.02 and 7,689.38

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Solution

The fourth proportional to 25,220.93, 37,830.02 and 7,689.38 is: 11,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,220.93 : 37,830.02 = 7,689.38 : x
  2. Step 2: Convert to fraction form
    25,220.93/37,830.02 = 7,689.38/x
  3. Step 3: Cross multiply
    25,220.93x = 37,830.02 × 7,689.38
  4. Step 4: Simplify right side
    25,220.93x = 290,889,171.59
  5. Step 5: Solve for x
    x = 290,889,171.59/25,220.93
  6. Step 6: Final answer
    x = 11,533.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.