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Finding the Fourth Proportional to 14,235.30, 21,352.95 and 6,838.02

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Solution

The fourth proportional to 14,235.30, 21,352.95 and 6,838.02 is: 10,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.30 : 21,352.95 = 6,838.02 : x
  2. Step 2: Convert to fraction form
    14,235.30/21,352.95 = 6,838.02/x
  3. Step 3: Cross multiply
    14,235.30x = 21,352.95 × 6,838.02
  4. Step 4: Simplify right side
    14,235.30x = 146,011,899.16
  5. Step 5: Solve for x
    x = 146,011,899.16/14,235.30
  6. Step 6: Final answer
    x = 10,257.03

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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.