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Finding the Fourth Proportional to 19,148.24, 28,724 and 5,297.24

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Solution

The fourth proportional to 19,148.24, 28,724 and 5,297.24 is: 7,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,148.24 : 28,724 = 5,297.24 : x
  2. Step 2: Convert to fraction form
    19,148.24/28,724 = 5,297.24/x
  3. Step 3: Cross multiply
    19,148.24x = 28,724 × 5,297.24
  4. Step 4: Simplify right side
    19,148.24x = 152,157,921.76
  5. Step 5: Solve for x
    x = 152,157,921.76/19,148.24
  6. Step 6: Final answer
    x = 7,946.31

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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.