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Finding the Fourth Proportional to 14,573, 21,859.50 and 5,339

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Solution

The fourth proportional to 14,573, 21,859.50 and 5,339 is: 8,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573 : 21,859.50 = 5,339 : x
  2. Step 2: Convert to fraction form
    14,573/21,859.50 = 5,339/x
  3. Step 3: Cross multiply
    14,573x = 21,859.50 × 5,339
  4. Step 4: Simplify right side
    14,573x = 116,707,870.50
  5. Step 5: Solve for x
    x = 116,707,870.50/14,573
  6. Step 6: Final answer
    x = 8,008.50

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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.