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Finding the Fourth Proportional to 21,968.30, 32,870.13 and 13,050.98

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Solution

The fourth proportional to 21,968.30, 32,870.13 and 13,050.98 is: 19,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.30 : 32,870.13 = 13,050.98 : x
  2. Step 2: Convert to fraction form
    21,968.30/32,870.13 = 13,050.98/x
  3. Step 3: Cross multiply
    21,968.30x = 32,870.13 × 13,050.98
  4. Step 4: Simplify right side
    21,968.30x = 428,987,409.23
  5. Step 5: Solve for x
    x = 428,987,409.23/21,968.30
  6. Step 6: Final answer
    x = 19,527.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.