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Finding the Fourth Proportional to 28,005.14, 42,014.37 and 8,014.93

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Solution

The fourth proportional to 28,005.14, 42,014.37 and 8,014.93 is: 12,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.14 : 42,014.37 = 8,014.93 : x
  2. Step 2: Convert to fraction form
    28,005.14/42,014.37 = 8,014.93/x
  3. Step 3: Cross multiply
    28,005.14x = 42,014.37 × 8,014.93
  4. Step 4: Simplify right side
    28,005.14x = 336,742,234.54
  5. Step 5: Solve for x
    x = 336,742,234.54/28,005.14
  6. Step 6: Final answer
    x = 12,024.30

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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.