Home / 13,854-19,118.52-7,566.39

Finding the Fourth Proportional to 13,854, 19,118.52 and 7,566.39

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Solution

The fourth proportional to 13,854, 19,118.52 and 7,566.39 is: 10,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854 : 19,118.52 = 7,566.39 : x
  2. Step 2: Convert to fraction form
    13,854/19,118.52 = 7,566.39/x
  3. Step 3: Cross multiply
    13,854x = 19,118.52 × 7,566.39
  4. Step 4: Simplify right side
    13,854x = 144,658,178.54
  5. Step 5: Solve for x
    x = 144,658,178.54/13,854
  6. Step 6: Final answer
    x = 10,441.62

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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.