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Finding the Fourth Proportional to 30,007.88, 41,409.14 and 17,922

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Solution

The fourth proportional to 30,007.88, 41,409.14 and 17,922 is: 24,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.88 : 41,409.14 = 17,922 : x
  2. Step 2: Convert to fraction form
    30,007.88/41,409.14 = 17,922/x
  3. Step 3: Cross multiply
    30,007.88x = 41,409.14 × 17,922
  4. Step 4: Simplify right side
    30,007.88x = 742,134,607.08
  5. Step 5: Solve for x
    x = 742,134,607.08/30,007.88
  6. Step 6: Final answer
    x = 24,731.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.