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Finding the Fourth Proportional to 14,284, 19,712.64 and 8,695.36

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Solution

The fourth proportional to 14,284, 19,712.64 and 8,695.36 is: 12,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284 : 19,712.64 = 8,695.36 : x
  2. Step 2: Convert to fraction form
    14,284/19,712.64 = 8,695.36/x
  3. Step 3: Cross multiply
    14,284x = 19,712.64 × 8,695.36
  4. Step 4: Simplify right side
    14,284x = 171,408,501.35
  5. Step 5: Solve for x
    x = 171,408,501.35/14,284
  6. Step 6: Final answer
    x = 12,000.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.