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Finding the Fourth Proportional to 12,374.48, 17,077.74 and 7,070.96

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Solution

The fourth proportional to 12,374.48, 17,077.74 and 7,070.96 is: 9,758.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.48 : 17,077.74 = 7,070.96 : x
  2. Step 2: Convert to fraction form
    12,374.48/17,077.74 = 7,070.96/x
  3. Step 3: Cross multiply
    12,374.48x = 17,077.74 × 7,070.96
  4. Step 4: Simplify right side
    12,374.48x = 120,756,016.43
  5. Step 5: Solve for x
    x = 120,756,016.43/12,374.48
  6. Step 6: Final answer
    x = 9,758.47

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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.