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Finding the Fourth Proportional to 23,582.32, 35,378.04 and 8,001.04

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Solution

The fourth proportional to 23,582.32, 35,378.04 and 8,001.04 is: 12,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.32 : 35,378.04 = 8,001.04 : x
  2. Step 2: Convert to fraction form
    23,582.32/35,378.04 = 8,001.04/x
  3. Step 3: Cross multiply
    23,582.32x = 35,378.04 × 8,001.04
  4. Step 4: Simplify right side
    23,582.32x = 283,061,113.16
  5. Step 5: Solve for x
    x = 283,061,113.16/23,582.32
  6. Step 6: Final answer
    x = 12,003.11

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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.