Home / 17,724-24,458.85-9,766.98

Finding the Fourth Proportional to 17,724, 24,458.85 and 9,766.98

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Solution

The fourth proportional to 17,724, 24,458.85 and 9,766.98 is: 13,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 24,458.85 = 9,766.98 : x
  2. Step 2: Convert to fraction form
    17,724/24,458.85 = 9,766.98/x
  3. Step 3: Cross multiply
    17,724x = 24,458.85 × 9,766.98
  4. Step 4: Simplify right side
    17,724x = 238,889,098.77
  5. Step 5: Solve for x
    x = 238,889,098.77/17,724
  6. Step 6: Final answer
    x = 13,478.28

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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.