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Finding the Fourth Proportional to 14,012, 21,020.88 and 5,804

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Solution

The fourth proportional to 14,012, 21,020.88 and 5,804 is: 8,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012 : 21,020.88 = 5,804 : x
  2. Step 2: Convert to fraction form
    14,012/21,020.88 = 5,804/x
  3. Step 3: Cross multiply
    14,012x = 21,020.88 × 5,804
  4. Step 4: Simplify right side
    14,012x = 122,005,187.52
  5. Step 5: Solve for x
    x = 122,005,187.52/14,012
  6. Step 6: Final answer
    x = 8,707.19

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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.