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Finding the Fourth Proportional to 14,378.58, 21,538.71 and 7,438.50

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Solution

The fourth proportional to 14,378.58, 21,538.71 and 7,438.50 is: 11,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.58 : 21,538.71 = 7,438.50 : x
  2. Step 2: Convert to fraction form
    14,378.58/21,538.71 = 7,438.50/x
  3. Step 3: Cross multiply
    14,378.58x = 21,538.71 × 7,438.50
  4. Step 4: Simplify right side
    14,378.58x = 160,215,694.34
  5. Step 5: Solve for x
    x = 160,215,694.34/14,378.58
  6. Step 6: Final answer
    x = 11,142.66

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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.