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Finding the Fourth Proportional to 14,157.84, 19,538.76 and 9,450

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Solution

The fourth proportional to 14,157.84, 19,538.76 and 9,450 is: 13,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.84 : 19,538.76 = 9,450 : x
  2. Step 2: Convert to fraction form
    14,157.84/19,538.76 = 9,450/x
  3. Step 3: Cross multiply
    14,157.84x = 19,538.76 × 9,450
  4. Step 4: Simplify right side
    14,157.84x = 184,641,282.00
  5. Step 5: Solve for x
    x = 184,641,282.00/14,157.84
  6. Step 6: Final answer
    x = 13,041.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.