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Finding the Fourth Proportional to 14,016, 21,029.60 and 5,696.67

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Solution

The fourth proportional to 14,016, 21,029.60 and 5,696.67 is: 8,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 21,029.60 = 5,696.67 : x
  2. Step 2: Convert to fraction form
    14,016/21,029.60 = 5,696.67/x
  3. Step 3: Cross multiply
    14,016x = 21,029.60 × 5,696.67
  4. Step 4: Simplify right side
    14,016x = 119,798,691.43
  5. Step 5: Solve for x
    x = 119,798,691.43/14,016
  6. Step 6: Final answer
    x = 8,547.28

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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.