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Finding the Fourth Proportional to 20,152.10, 30,228.74 and 9,623.23

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Solution

The fourth proportional to 20,152.10, 30,228.74 and 9,623.23 is: 14,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.10 : 30,228.74 = 9,623.23 : x
  2. Step 2: Convert to fraction form
    20,152.10/30,228.74 = 9,623.23/x
  3. Step 3: Cross multiply
    20,152.10x = 30,228.74 × 9,623.23
  4. Step 4: Simplify right side
    20,152.10x = 290,898,117.63
  5. Step 5: Solve for x
    x = 290,898,117.63/20,152.10
  6. Step 6: Final answer
    x = 14,435.13

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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.