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Finding the Fourth Proportional to 21,322.72, 31,985.64 and 7,277.12

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Solution

The fourth proportional to 21,322.72, 31,985.64 and 7,277.12 is: 10,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.72 : 31,985.64 = 7,277.12 : x
  2. Step 2: Convert to fraction form
    21,322.72/31,985.64 = 7,277.12/x
  3. Step 3: Cross multiply
    21,322.72x = 31,985.64 × 7,277.12
  4. Step 4: Simplify right side
    21,322.72x = 232,763,340.56
  5. Step 5: Solve for x
    x = 232,763,340.56/21,322.72
  6. Step 6: Final answer
    x = 10,916.21

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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.