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Finding the Fourth Proportional to 21,409.60, 29,533.04 and 12,456.06

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Solution

The fourth proportional to 21,409.60, 29,533.04 and 12,456.06 is: 17,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.60 : 29,533.04 = 12,456.06 : x
  2. Step 2: Convert to fraction form
    21,409.60/29,533.04 = 12,456.06/x
  3. Step 3: Cross multiply
    21,409.60x = 29,533.04 × 12,456.06
  4. Step 4: Simplify right side
    21,409.60x = 367,865,318.22
  5. Step 5: Solve for x
    x = 367,865,318.22/21,409.60
  6. Step 6: Final answer
    x = 17,182.26

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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.