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Finding the Fourth Proportional to 14,381.13, 19,852.09 and 9,668.15

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Solution

The fourth proportional to 14,381.13, 19,852.09 and 9,668.15 is: 13,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.13 : 19,852.09 = 9,668.15 : x
  2. Step 2: Convert to fraction form
    14,381.13/19,852.09 = 9,668.15/x
  3. Step 3: Cross multiply
    14,381.13x = 19,852.09 × 9,668.15
  4. Step 4: Simplify right side
    14,381.13x = 191,932,873.55
  5. Step 5: Solve for x
    x = 191,932,873.55/14,381.13
  6. Step 6: Final answer
    x = 13,346.16

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