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Finding the Fourth Proportional to 14,596.50, 21,889.08 and 4,733.40

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Solution

The fourth proportional to 14,596.50, 21,889.08 and 4,733.40 is: 7,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.50 : 21,889.08 = 4,733.40 : x
  2. Step 2: Convert to fraction form
    14,596.50/21,889.08 = 4,733.40/x
  3. Step 3: Cross multiply
    14,596.50x = 21,889.08 × 4,733.40
  4. Step 4: Simplify right side
    14,596.50x = 103,609,771.27
  5. Step 5: Solve for x
    x = 103,609,771.27/14,596.50
  6. Step 6: Final answer
    x = 7,098.26

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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.