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Finding the Fourth Proportional to 23,533.16, 32,454.06 and 15,990.74

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Solution

The fourth proportional to 23,533.16, 32,454.06 and 15,990.74 is: 22,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.16 : 32,454.06 = 15,990.74 : x
  2. Step 2: Convert to fraction form
    23,533.16/32,454.06 = 15,990.74/x
  3. Step 3: Cross multiply
    23,533.16x = 32,454.06 × 15,990.74
  4. Step 4: Simplify right side
    23,533.16x = 518,964,314.29
  5. Step 5: Solve for x
    x = 518,964,314.29/23,533.16
  6. Step 6: Final answer
    x = 22,052.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.