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Finding the Fourth Proportional to 21,048.02, 31,576.18 and 7,721.14

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Solution

The fourth proportional to 21,048.02, 31,576.18 and 7,721.14 is: 11,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.02 : 31,576.18 = 7,721.14 : x
  2. Step 2: Convert to fraction form
    21,048.02/31,576.18 = 7,721.14/x
  3. Step 3: Cross multiply
    21,048.02x = 31,576.18 × 7,721.14
  4. Step 4: Simplify right side
    21,048.02x = 243,803,981.25
  5. Step 5: Solve for x
    x = 243,803,981.25/21,048.02
  6. Step 6: Final answer
    x = 11,583.23

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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.