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Finding the Fourth Proportional to 12,987.01, 19,477.95 and 5,965.12

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Solution

The fourth proportional to 12,987.01, 19,477.95 and 5,965.12 is: 8,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.01 : 19,477.95 = 5,965.12 : x
  2. Step 2: Convert to fraction form
    12,987.01/19,477.95 = 5,965.12/x
  3. Step 3: Cross multiply
    12,987.01x = 19,477.95 × 5,965.12
  4. Step 4: Simplify right side
    12,987.01x = 116,188,309.10
  5. Step 5: Solve for x
    x = 116,188,309.10/12,987.01
  6. Step 6: Final answer
    x = 8,946.50

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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.