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Finding the Fourth Proportional to 14,416.34, 19,883.36 and 9,109.22

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Solution

The fourth proportional to 14,416.34, 19,883.36 and 9,109.22 is: 12,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.34 : 19,883.36 = 9,109.22 : x
  2. Step 2: Convert to fraction form
    14,416.34/19,883.36 = 9,109.22/x
  3. Step 3: Cross multiply
    14,416.34x = 19,883.36 × 9,109.22
  4. Step 4: Simplify right side
    14,416.34x = 181,121,855.03
  5. Step 5: Solve for x
    x = 181,121,855.03/14,416.34
  6. Step 6: Final answer
    x = 12,563.65

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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.