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Finding the Fourth Proportional to 25,784.50, 38,694.04 and 9,368.50

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Solution

The fourth proportional to 25,784.50, 38,694.04 and 9,368.50 is: 14,059.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.50 : 38,694.04 = 9,368.50 : x
  2. Step 2: Convert to fraction form
    25,784.50/38,694.04 = 9,368.50/x
  3. Step 3: Cross multiply
    25,784.50x = 38,694.04 × 9,368.50
  4. Step 4: Simplify right side
    25,784.50x = 362,505,113.74
  5. Step 5: Solve for x
    x = 362,505,113.74/25,784.50
  6. Step 6: Final answer
    x = 14,059.03

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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.