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Finding the Fourth Proportional to 12,894.01, 19,343.75 and 4,009.12

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Solution

The fourth proportional to 12,894.01, 19,343.75 and 4,009.12 is: 6,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.01 : 19,343.75 = 4,009.12 : x
  2. Step 2: Convert to fraction form
    12,894.01/19,343.75 = 4,009.12/x
  3. Step 3: Cross multiply
    12,894.01x = 19,343.75 × 4,009.12
  4. Step 4: Simplify right side
    12,894.01x = 77,551,346.60
  5. Step 5: Solve for x
    x = 77,551,346.60/12,894.01
  6. Step 6: Final answer
    x = 6,014.53

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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.