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Finding the Fourth Proportional to 13,267.24, 19,903.74 and 4,033

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Solution

The fourth proportional to 13,267.24, 19,903.74 and 4,033 is: 6,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.24 : 19,903.74 = 4,033 : x
  2. Step 2: Convert to fraction form
    13,267.24/19,903.74 = 4,033/x
  3. Step 3: Cross multiply
    13,267.24x = 19,903.74 × 4,033
  4. Step 4: Simplify right side
    13,267.24x = 80,271,783.42
  5. Step 5: Solve for x
    x = 80,271,783.42/13,267.24
  6. Step 6: Final answer
    x = 6,050.38

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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.