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Finding the Fourth Proportional to 14,016, 21,032.76 and 5,808

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Solution

The fourth proportional to 14,016, 21,032.76 and 5,808 is: 8,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 21,032.76 = 5,808 : x
  2. Step 2: Convert to fraction form
    14,016/21,032.76 = 5,808/x
  3. Step 3: Cross multiply
    14,016x = 21,032.76 × 5,808
  4. Step 4: Simplify right side
    14,016x = 122,158,270.08
  5. Step 5: Solve for x
    x = 122,158,270.08/14,016
  6. Step 6: Final answer
    x = 8,715.63

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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.