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Finding the Fourth Proportional to 21,521.57, 32,275.06 and 7,477.92

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Solution

The fourth proportional to 21,521.57, 32,275.06 and 7,477.92 is: 11,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.57 : 32,275.06 = 7,477.92 : x
  2. Step 2: Convert to fraction form
    21,521.57/32,275.06 = 7,477.92/x
  3. Step 3: Cross multiply
    21,521.57x = 32,275.06 × 7,477.92
  4. Step 4: Simplify right side
    21,521.57x = 241,350,297.98
  5. Step 5: Solve for x
    x = 241,350,297.98/21,521.57
  6. Step 6: Final answer
    x = 11,214.35

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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.