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Finding the Fourth Proportional to 12,102.16, 18,148.54 and 4,705.64

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Solution

The fourth proportional to 12,102.16, 18,148.54 and 4,705.64 is: 7,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.16 : 18,148.54 = 4,705.64 : x
  2. Step 2: Convert to fraction form
    12,102.16/18,148.54 = 4,705.64/x
  3. Step 3: Cross multiply
    12,102.16x = 18,148.54 × 4,705.64
  4. Step 4: Simplify right side
    12,102.16x = 85,400,495.77
  5. Step 5: Solve for x
    x = 85,400,495.77/12,102.16
  6. Step 6: Final answer
    x = 7,056.63

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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.