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Finding the Fourth Proportional to 10,247.84, 15,384.36 and 9,731.36

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Solution

The fourth proportional to 10,247.84, 15,384.36 and 9,731.36 is: 14,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247.84 : 15,384.36 = 9,731.36 : x
  2. Step 2: Convert to fraction form
    10,247.84/15,384.36 = 9,731.36/x
  3. Step 3: Cross multiply
    10,247.84x = 15,384.36 × 9,731.36
  4. Step 4: Simplify right side
    10,247.84x = 149,710,745.53
  5. Step 5: Solve for x
    x = 149,710,745.53/10,247.84
  6. Step 6: Final answer
    x = 14,609.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.