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Finding the Fourth Proportional to 15,923.32, 23,873.54 and 7,485.07

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Solution

The fourth proportional to 15,923.32, 23,873.54 and 7,485.07 is: 11,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.32 : 23,873.54 = 7,485.07 : x
  2. Step 2: Convert to fraction form
    15,923.32/23,873.54 = 7,485.07/x
  3. Step 3: Cross multiply
    15,923.32x = 23,873.54 × 7,485.07
  4. Step 4: Simplify right side
    15,923.32x = 178,695,118.05
  5. Step 5: Solve for x
    x = 178,695,118.05/15,923.32
  6. Step 6: Final answer
    x = 11,222.23

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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.