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Finding the Fourth Proportional to 12,416.64, 18,633.06 and 11,415.48

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Solution

The fourth proportional to 12,416.64, 18,633.06 and 11,415.48 is: 17,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.64 : 18,633.06 = 11,415.48 : x
  2. Step 2: Convert to fraction form
    12,416.64/18,633.06 = 11,415.48/x
  3. Step 3: Cross multiply
    12,416.64x = 18,633.06 × 11,415.48
  4. Step 4: Simplify right side
    12,416.64x = 212,705,323.77
  5. Step 5: Solve for x
    x = 212,705,323.77/12,416.64
  6. Step 6: Final answer
    x = 17,130.67

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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.