Home / 13,827-19,080.62-7,539.32

Finding the Fourth Proportional to 13,827, 19,080.62 and 7,539.32

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Solution

The fourth proportional to 13,827, 19,080.62 and 7,539.32 is: 10,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 19,080.62 = 7,539.32 : x
  2. Step 2: Convert to fraction form
    13,827/19,080.62 = 7,539.32/x
  3. Step 3: Cross multiply
    13,827x = 19,080.62 × 7,539.32
  4. Step 4: Simplify right side
    13,827x = 143,854,899.98
  5. Step 5: Solve for x
    x = 143,854,899.98/13,827
  6. Step 6: Final answer
    x = 10,403.91

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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.