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Finding the Fourth Proportional to 12,866.01, 19,301.04 and 5,470.50

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Solution

The fourth proportional to 12,866.01, 19,301.04 and 5,470.50 is: 8,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.01 : 19,301.04 = 5,470.50 : x
  2. Step 2: Convert to fraction form
    12,866.01/19,301.04 = 5,470.50/x
  3. Step 3: Cross multiply
    12,866.01x = 19,301.04 × 5,470.50
  4. Step 4: Simplify right side
    12,866.01x = 105,586,339.32
  5. Step 5: Solve for x
    x = 105,586,339.32/12,866.01
  6. Step 6: Final answer
    x = 8,206.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.