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Finding the Fourth Proportional to 15,983.52, 23,973.66 and 4,890.30

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Solution

The fourth proportional to 15,983.52, 23,973.66 and 4,890.30 is: 7,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.52 : 23,973.66 = 4,890.30 : x
  2. Step 2: Convert to fraction form
    15,983.52/23,973.66 = 4,890.30/x
  3. Step 3: Cross multiply
    15,983.52x = 23,973.66 × 4,890.30
  4. Step 4: Simplify right side
    15,983.52x = 117,238,389.50
  5. Step 5: Solve for x
    x = 117,238,389.50/15,983.52
  6. Step 6: Final answer
    x = 7,334.95

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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.