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Finding the Fourth Proportional to 21,485.30, 29,642.96 and 12,409.50

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Solution

The fourth proportional to 21,485.30, 29,642.96 and 12,409.50 is: 17,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.30 : 29,642.96 = 12,409.50 : x
  2. Step 2: Convert to fraction form
    21,485.30/29,642.96 = 12,409.50/x
  3. Step 3: Cross multiply
    21,485.30x = 29,642.96 × 12,409.50
  4. Step 4: Simplify right side
    21,485.30x = 367,854,312.12
  5. Step 5: Solve for x
    x = 367,854,312.12/21,485.30
  6. Step 6: Final answer
    x = 17,121.21

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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.