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Finding the Fourth Proportional to 14,133.29, 21,200.94 and 5,368.07

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Solution

The fourth proportional to 14,133.29, 21,200.94 and 5,368.07 is: 8,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.29 : 21,200.94 = 5,368.07 : x
  2. Step 2: Convert to fraction form
    14,133.29/21,200.94 = 5,368.07/x
  3. Step 3: Cross multiply
    14,133.29x = 21,200.94 × 5,368.07
  4. Step 4: Simplify right side
    14,133.29x = 113,808,182.99
  5. Step 5: Solve for x
    x = 113,808,182.99/14,133.29
  6. Step 6: Final answer
    x = 8,052.49

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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.