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Finding the Fourth Proportional to 14,424.35, 19,905.86 and 8,460.32

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Solution

The fourth proportional to 14,424.35, 19,905.86 and 8,460.32 is: 11,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.35 : 19,905.86 = 8,460.32 : x
  2. Step 2: Convert to fraction form
    14,424.35/19,905.86 = 8,460.32/x
  3. Step 3: Cross multiply
    14,424.35x = 19,905.86 × 8,460.32
  4. Step 4: Simplify right side
    14,424.35x = 168,409,945.48
  5. Step 5: Solve for x
    x = 168,409,945.48/14,424.35
  6. Step 6: Final answer
    x = 11,675.39

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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.