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Finding the Fourth Proportional to 21,375.16, 32,065.76 and 6,585.32

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Solution

The fourth proportional to 21,375.16, 32,065.76 and 6,585.32 is: 9,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,375.16 : 32,065.76 = 6,585.32 : x
  2. Step 2: Convert to fraction form
    21,375.16/32,065.76 = 6,585.32/x
  3. Step 3: Cross multiply
    21,375.16x = 32,065.76 × 6,585.32
  4. Step 4: Simplify right side
    21,375.16x = 211,163,290.64
  5. Step 5: Solve for x
    x = 211,163,290.64/21,375.16
  6. Step 6: Final answer
    x = 9,878.91

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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.