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Finding the Fourth Proportional to 14,388.64, 19,859.38 and 9,670.19

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Solution

The fourth proportional to 14,388.64, 19,859.38 and 9,670.19 is: 13,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.64 : 19,859.38 = 9,670.19 : x
  2. Step 2: Convert to fraction form
    14,388.64/19,859.38 = 9,670.19/x
  3. Step 3: Cross multiply
    14,388.64x = 19,859.38 × 9,670.19
  4. Step 4: Simplify right side
    14,388.64x = 192,043,878.59
  5. Step 5: Solve for x
    x = 192,043,878.59/14,388.64
  6. Step 6: Final answer
    x = 13,346.91

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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.