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Finding the Fourth Proportional to 14,000.19, 21,000.57 and 4,139.47

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Solution

The fourth proportional to 14,000.19, 21,000.57 and 4,139.47 is: 6,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.19 : 21,000.57 = 4,139.47 : x
  2. Step 2: Convert to fraction form
    14,000.19/21,000.57 = 4,139.47/x
  3. Step 3: Cross multiply
    14,000.19x = 21,000.57 × 4,139.47
  4. Step 4: Simplify right side
    14,000.19x = 86,931,229.50
  5. Step 5: Solve for x
    x = 86,931,229.50/14,000.19
  6. Step 6: Final answer
    x = 6,209.29

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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.