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Finding the Fourth Proportional to 15,490.83, 23,178.83 and 9,254.24

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Solution

The fourth proportional to 15,490.83, 23,178.83 and 9,254.24 is: 13,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.83 : 23,178.83 = 9,254.24 : x
  2. Step 2: Convert to fraction form
    15,490.83/23,178.83 = 9,254.24/x
  3. Step 3: Cross multiply
    15,490.83x = 23,178.83 × 9,254.24
  4. Step 4: Simplify right side
    15,490.83x = 214,502,293.57
  5. Step 5: Solve for x
    x = 214,502,293.57/15,490.83
  6. Step 6: Final answer
    x = 13,847.05

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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.