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Finding the Fourth Proportional to 15,295.74, 22,943.34 and 4,202.40

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Solution

The fourth proportional to 15,295.74, 22,943.34 and 4,202.40 is: 6,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295.74 : 22,943.34 = 4,202.40 : x
  2. Step 2: Convert to fraction form
    15,295.74/22,943.34 = 4,202.40/x
  3. Step 3: Cross multiply
    15,295.74x = 22,943.34 × 4,202.40
  4. Step 4: Simplify right side
    15,295.74x = 96,417,092.02
  5. Step 5: Solve for x
    x = 96,417,092.02/15,295.74
  6. Step 6: Final answer
    x = 6,303.53

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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.