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Finding the Fourth Proportional to 15,219.63, 22,802.31 and 9,293.40

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Solution

The fourth proportional to 15,219.63, 22,802.31 and 9,293.40 is: 13,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.63 : 22,802.31 = 9,293.40 : x
  2. Step 2: Convert to fraction form
    15,219.63/22,802.31 = 9,293.40/x
  3. Step 3: Cross multiply
    15,219.63x = 22,802.31 × 9,293.40
  4. Step 4: Simplify right side
    15,219.63x = 211,910,987.75
  5. Step 5: Solve for x
    x = 211,910,987.75/15,219.63
  6. Step 6: Final answer
    x = 13,923.53

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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.