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Finding the Fourth Proportional to 14,116.42, 19,469.64 and 9,866.08

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Solution

The fourth proportional to 14,116.42, 19,469.64 and 9,866.08 is: 13,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.42 : 19,469.64 = 9,866.08 : x
  2. Step 2: Convert to fraction form
    14,116.42/19,469.64 = 9,866.08/x
  3. Step 3: Cross multiply
    14,116.42x = 19,469.64 × 9,866.08
  4. Step 4: Simplify right side
    14,116.42x = 192,089,025.81
  5. Step 5: Solve for x
    x = 192,089,025.81/14,116.42
  6. Step 6: Final answer
    x = 13,607.49

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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.