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Finding the Fourth Proportional to 14,034.08, 19,370.40 and 8,444

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Solution

The fourth proportional to 14,034.08, 19,370.40 and 8,444 is: 11,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.08 : 19,370.40 = 8,444 : x
  2. Step 2: Convert to fraction form
    14,034.08/19,370.40 = 8,444/x
  3. Step 3: Cross multiply
    14,034.08x = 19,370.40 × 8,444
  4. Step 4: Simplify right side
    14,034.08x = 163,563,657.60
  5. Step 5: Solve for x
    x = 163,563,657.60/14,034.08
  6. Step 6: Final answer
    x = 11,654.75

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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.