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Finding the Fourth Proportional to 10,005.21, 15,015.51 and 9,491.31

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Solution

The fourth proportional to 10,005.21, 15,015.51 and 9,491.31 is: 14,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.21 : 15,015.51 = 9,491.31 : x
  2. Step 2: Convert to fraction form
    10,005.21/15,015.51 = 9,491.31/x
  3. Step 3: Cross multiply
    10,005.21x = 15,015.51 × 9,491.31
  4. Step 4: Simplify right side
    10,005.21x = 142,516,860.22
  5. Step 5: Solve for x
    x = 142,516,860.22/10,005.21
  6. Step 6: Final answer
    x = 14,244.26

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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.