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Finding the Fourth Proportional to 14,570, 21,855.06 and 5,336

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Solution

The fourth proportional to 14,570, 21,855.06 and 5,336 is: 8,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 21,855.06 = 5,336 : x
  2. Step 2: Convert to fraction form
    14,570/21,855.06 = 5,336/x
  3. Step 3: Cross multiply
    14,570x = 21,855.06 × 5,336
  4. Step 4: Simplify right side
    14,570x = 116,618,600.16
  5. Step 5: Solve for x
    x = 116,618,600.16/14,570
  6. Step 6: Final answer
    x = 8,004.02

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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.