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Finding the Fourth Proportional to 12,833.94, 19,246.04 and 5,038.50

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Solution

The fourth proportional to 12,833.94, 19,246.04 and 5,038.50 is: 7,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.94 : 19,246.04 = 5,038.50 : x
  2. Step 2: Convert to fraction form
    12,833.94/19,246.04 = 5,038.50/x
  3. Step 3: Cross multiply
    12,833.94x = 19,246.04 × 5,038.50
  4. Step 4: Simplify right side
    12,833.94x = 96,971,172.54
  5. Step 5: Solve for x
    x = 96,971,172.54/12,833.94
  6. Step 6: Final answer
    x = 7,555.84

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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.