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Finding the Fourth Proportional to 21,382.16, 32,071.61 and 7,521.44

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Solution

The fourth proportional to 21,382.16, 32,071.61 and 7,521.44 is: 11,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.16 : 32,071.61 = 7,521.44 : x
  2. Step 2: Convert to fraction form
    21,382.16/32,071.61 = 7,521.44/x
  3. Step 3: Cross multiply
    21,382.16x = 32,071.61 × 7,521.44
  4. Step 4: Simplify right side
    21,382.16x = 241,224,548.76
  5. Step 5: Solve for x
    x = 241,224,548.76/21,382.16
  6. Step 6: Final answer
    x = 11,281.58

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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.