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Finding the Fourth Proportional to 14,276.96, 19,702.24 and 7,904

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Solution

The fourth proportional to 14,276.96, 19,702.24 and 7,904 is: 10,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.96 : 19,702.24 = 7,904 : x
  2. Step 2: Convert to fraction form
    14,276.96/19,702.24 = 7,904/x
  3. Step 3: Cross multiply
    14,276.96x = 19,702.24 × 7,904
  4. Step 4: Simplify right side
    14,276.96x = 155,726,504.96
  5. Step 5: Solve for x
    x = 155,726,504.96/14,276.96
  6. Step 6: Final answer
    x = 10,907.54

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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.