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Finding the Fourth Proportional to 15,888.32, 23,832.56 and 6,533.44

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Solution

The fourth proportional to 15,888.32, 23,832.56 and 6,533.44 is: 9,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.32 : 23,832.56 = 6,533.44 : x
  2. Step 2: Convert to fraction form
    15,888.32/23,832.56 = 6,533.44/x
  3. Step 3: Cross multiply
    15,888.32x = 23,832.56 × 6,533.44
  4. Step 4: Simplify right side
    15,888.32x = 155,708,600.81
  5. Step 5: Solve for x
    x = 155,708,600.81/15,888.32
  6. Step 6: Final answer
    x = 9,800.19

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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.