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Finding the Fourth Proportional to 19,670.40, 29,486.16 and 9,289.44

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Solution

The fourth proportional to 19,670.40, 29,486.16 and 9,289.44 is: 13,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.40 : 29,486.16 = 9,289.44 : x
  2. Step 2: Convert to fraction form
    19,670.40/29,486.16 = 9,289.44/x
  3. Step 3: Cross multiply
    19,670.40x = 29,486.16 × 9,289.44
  4. Step 4: Simplify right side
    19,670.40x = 273,909,914.15
  5. Step 5: Solve for x
    x = 273,909,914.15/19,670.40
  6. Step 6: Final answer
    x = 13,924.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.