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Finding the Fourth Proportional to 14,328.50, 21,485.00 and 4,967.83

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Solution

The fourth proportional to 14,328.50, 21,485.00 and 4,967.83 is: 7,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.50 : 21,485.00 = 4,967.83 : x
  2. Step 2: Convert to fraction form
    14,328.50/21,485.00 = 4,967.83/x
  3. Step 3: Cross multiply
    14,328.50x = 21,485.00 × 4,967.83
  4. Step 4: Simplify right side
    14,328.50x = 106,733,838.88
  5. Step 5: Solve for x
    x = 106,733,838.88/14,328.50
  6. Step 6: Final answer
    x = 7,449.06

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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.