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Finding the Fourth Proportional to 30,014.64, 45,021.96 and 9,238.32

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Solution

The fourth proportional to 30,014.64, 45,021.96 and 9,238.32 is: 13,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.64 : 45,021.96 = 9,238.32 : x
  2. Step 2: Convert to fraction form
    30,014.64/45,021.96 = 9,238.32/x
  3. Step 3: Cross multiply
    30,014.64x = 45,021.96 × 9,238.32
  4. Step 4: Simplify right side
    30,014.64x = 415,927,273.51
  5. Step 5: Solve for x
    x = 415,927,273.51/30,014.64
  6. Step 6: Final answer
    x = 13,857.48

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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.