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Finding the Fourth Proportional to 15,083, 22,624.37 and 6,317.92

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Solution

The fourth proportional to 15,083, 22,624.37 and 6,317.92 is: 9,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,083 : 22,624.37 = 6,317.92 : x
  2. Step 2: Convert to fraction form
    15,083/22,624.37 = 6,317.92/x
  3. Step 3: Cross multiply
    15,083x = 22,624.37 × 6,317.92
  4. Step 4: Simplify right side
    15,083x = 142,938,959.71
  5. Step 5: Solve for x
    x = 142,938,959.71/15,083
  6. Step 6: Final answer
    x = 9,476.83

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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.