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Finding the Fourth Proportional to 14,165.60, 19,548.64 and 7,705.30

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Solution

The fourth proportional to 14,165.60, 19,548.64 and 7,705.30 is: 10,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.60 : 19,548.64 = 7,705.30 : x
  2. Step 2: Convert to fraction form
    14,165.60/19,548.64 = 7,705.30/x
  3. Step 3: Cross multiply
    14,165.60x = 19,548.64 × 7,705.30
  4. Step 4: Simplify right side
    14,165.60x = 150,628,135.79
  5. Step 5: Solve for x
    x = 150,628,135.79/14,165.60
  6. Step 6: Final answer
    x = 10,633.37

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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.