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Finding the Fourth Proportional to 38,018.16, 57,030.43 and 14,009

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Solution

The fourth proportional to 38,018.16, 57,030.43 and 14,009 is: 21,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018.16 : 57,030.43 = 14,009 : x
  2. Step 2: Convert to fraction form
    38,018.16/57,030.43 = 14,009/x
  3. Step 3: Cross multiply
    38,018.16x = 57,030.43 × 14,009
  4. Step 4: Simplify right side
    38,018.16x = 798,939,293.87
  5. Step 5: Solve for x
    x = 798,939,293.87/38,018.16
  6. Step 6: Final answer
    x = 21,014.68

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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.