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Finding the Fourth Proportional to 12,095.74, 18,144.75 and 4,700.76

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Solution

The fourth proportional to 12,095.74, 18,144.75 and 4,700.76 is: 7,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.74 : 18,144.75 = 4,700.76 : x
  2. Step 2: Convert to fraction form
    12,095.74/18,144.75 = 4,700.76/x
  3. Step 3: Cross multiply
    12,095.74x = 18,144.75 × 4,700.76
  4. Step 4: Simplify right side
    12,095.74x = 85,294,148.62
  5. Step 5: Solve for x
    x = 85,294,148.62/12,095.74
  6. Step 6: Final answer
    x = 7,051.59

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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.