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Finding the Fourth Proportional to 12,863.52, 19,264.40 and 11,004

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Solution

The fourth proportional to 12,863.52, 19,264.40 and 11,004 is: 16,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.52 : 19,264.40 = 11,004 : x
  2. Step 2: Convert to fraction form
    12,863.52/19,264.40 = 11,004/x
  3. Step 3: Cross multiply
    12,863.52x = 19,264.40 × 11,004
  4. Step 4: Simplify right side
    12,863.52x = 211,985,457.60
  5. Step 5: Solve for x
    x = 211,985,457.60/12,863.52
  6. Step 6: Final answer
    x = 16,479.58

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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.