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Finding the Fourth Proportional to 12,277.36, 18,407.40 and 6,342.49

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Solution

The fourth proportional to 12,277.36, 18,407.40 and 6,342.49 is: 9,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.36 : 18,407.40 = 6,342.49 : x
  2. Step 2: Convert to fraction form
    12,277.36/18,407.40 = 6,342.49/x
  3. Step 3: Cross multiply
    12,277.36x = 18,407.40 × 6,342.49
  4. Step 4: Simplify right side
    12,277.36x = 116,748,750.43
  5. Step 5: Solve for x
    x = 116,748,750.43/12,277.36
  6. Step 6: Final answer
    x = 9,509.27

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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.