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Finding the Fourth Proportional to 14,382.47, 21,564.59 and 6,068.23

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Solution

The fourth proportional to 14,382.47, 21,564.59 and 6,068.23 is: 9,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.47 : 21,564.59 = 6,068.23 : x
  2. Step 2: Convert to fraction form
    14,382.47/21,564.59 = 6,068.23/x
  3. Step 3: Cross multiply
    14,382.47x = 21,564.59 × 6,068.23
  4. Step 4: Simplify right side
    14,382.47x = 130,858,891.98
  5. Step 5: Solve for x
    x = 130,858,891.98/14,382.47
  6. Step 6: Final answer
    x = 9,098.50

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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.