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Finding the Fourth Proportional to 12,705, 19,039.05 and 9,014.44

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Solution

The fourth proportional to 12,705, 19,039.05 and 9,014.44 is: 13,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 19,039.05 = 9,014.44 : x
  2. Step 2: Convert to fraction form
    12,705/19,039.05 = 9,014.44/x
  3. Step 3: Cross multiply
    12,705x = 19,039.05 × 9,014.44
  4. Step 4: Simplify right side
    12,705x = 171,626,326.28
  5. Step 5: Solve for x
    x = 171,626,326.28/12,705
  6. Step 6: Final answer
    x = 13,508.57

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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.