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Finding the Fourth Proportional to 13,133.46, 19,683.18 and 5,338.02

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Solution

The fourth proportional to 13,133.46, 19,683.18 and 5,338.02 is: 8,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.46 : 19,683.18 = 5,338.02 : x
  2. Step 2: Convert to fraction form
    13,133.46/19,683.18 = 5,338.02/x
  3. Step 3: Cross multiply
    13,133.46x = 19,683.18 × 5,338.02
  4. Step 4: Simplify right side
    13,133.46x = 105,069,208.50
  5. Step 5: Solve for x
    x = 105,069,208.50/13,133.46
  6. Step 6: Final answer
    x = 8,000.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.