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Finding the Fourth Proportional to 14,357.34, 21,516.44 and 6,947.01

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Solution

The fourth proportional to 14,357.34, 21,516.44 and 6,947.01 is: 10,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.34 : 21,516.44 = 6,947.01 : x
  2. Step 2: Convert to fraction form
    14,357.34/21,516.44 = 6,947.01/x
  3. Step 3: Cross multiply
    14,357.34x = 21,516.44 × 6,947.01
  4. Step 4: Simplify right side
    14,357.34x = 149,474,889.11
  5. Step 5: Solve for x
    x = 149,474,889.11/14,357.34
  6. Step 6: Final answer
    x = 10,411.04

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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.