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Finding the Fourth Proportional to 13,133.95, 19,703.36 and 4,251.63

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Solution

The fourth proportional to 13,133.95, 19,703.36 and 4,251.63 is: 6,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.95 : 19,703.36 = 4,251.63 : x
  2. Step 2: Convert to fraction form
    13,133.95/19,703.36 = 4,251.63/x
  3. Step 3: Cross multiply
    13,133.95x = 19,703.36 × 4,251.63
  4. Step 4: Simplify right side
    13,133.95x = 83,771,396.48
  5. Step 5: Solve for x
    x = 83,771,396.48/13,133.95
  6. Step 6: Final answer
    x = 6,378.23

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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.