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Finding the Fourth Proportional to 12,071.76, 16,659.18 and 7,356.48

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Solution

The fourth proportional to 12,071.76, 16,659.18 and 7,356.48 is: 10,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.76 : 16,659.18 = 7,356.48 : x
  2. Step 2: Convert to fraction form
    12,071.76/16,659.18 = 7,356.48/x
  3. Step 3: Cross multiply
    12,071.76x = 16,659.18 × 7,356.48
  4. Step 4: Simplify right side
    12,071.76x = 122,552,924.49
  5. Step 5: Solve for x
    x = 122,552,924.49/12,071.76
  6. Step 6: Final answer
    x = 10,152.03

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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.