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Finding the Fourth Proportional to 21,907.40, 30,232.81 and 13,409.35

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Solution

The fourth proportional to 21,907.40, 30,232.81 and 13,409.35 is: 18,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.40 : 30,232.81 = 13,409.35 : x
  2. Step 2: Convert to fraction form
    21,907.40/30,232.81 = 13,409.35/x
  3. Step 3: Cross multiply
    21,907.40x = 30,232.81 × 13,409.35
  4. Step 4: Simplify right side
    21,907.40x = 405,402,271.95
  5. Step 5: Solve for x
    x = 405,402,271.95/21,907.40
  6. Step 6: Final answer
    x = 18,505.27

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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.