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Finding the Fourth Proportional to 15,458.94, 23,192.74 and 5,077.98

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Solution

The fourth proportional to 15,458.94, 23,192.74 and 5,077.98 is: 7,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458.94 : 23,192.74 = 5,077.98 : x
  2. Step 2: Convert to fraction form
    15,458.94/23,192.74 = 5,077.98/x
  3. Step 3: Cross multiply
    15,458.94x = 23,192.74 × 5,077.98
  4. Step 4: Simplify right side
    15,458.94x = 117,772,269.87
  5. Step 5: Solve for x
    x = 117,772,269.87/15,458.94
  6. Step 6: Final answer
    x = 7,618.39

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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.