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Finding the Fourth Proportional to 14,312.70, 21,471.08 and 5,548.50

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Solution

The fourth proportional to 14,312.70, 21,471.08 and 5,548.50 is: 8,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.70 : 21,471.08 = 5,548.50 : x
  2. Step 2: Convert to fraction form
    14,312.70/21,471.08 = 5,548.50/x
  3. Step 3: Cross multiply
    14,312.70x = 21,471.08 × 5,548.50
  4. Step 4: Simplify right side
    14,312.70x = 119,132,259.64
  5. Step 5: Solve for x
    x = 119,132,259.64/14,312.70
  6. Step 6: Final answer
    x = 8,323.54

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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.