Home / 13,827-19,074.68-9,352.32

Finding the Fourth Proportional to 13,827, 19,074.68 and 9,352.32

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Solution

The fourth proportional to 13,827, 19,074.68 and 9,352.32 is: 12,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 19,074.68 = 9,352.32 : x
  2. Step 2: Convert to fraction form
    13,827/19,074.68 = 9,352.32/x
  3. Step 3: Cross multiply
    13,827x = 19,074.68 × 9,352.32
  4. Step 4: Simplify right side
    13,827x = 178,392,511.26
  5. Step 5: Solve for x
    x = 178,392,511.26/13,827
  6. Step 6: Final answer
    x = 12,901.75

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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.