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Finding the Fourth Proportional to 21,411.93, 29,548.50 and 11,980.50

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Solution

The fourth proportional to 21,411.93, 29,548.50 and 11,980.50 is: 16,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.93 : 29,548.50 = 11,980.50 : x
  2. Step 2: Convert to fraction form
    21,411.93/29,548.50 = 11,980.50/x
  3. Step 3: Cross multiply
    21,411.93x = 29,548.50 × 11,980.50
  4. Step 4: Simplify right side
    21,411.93x = 354,005,804.25
  5. Step 5: Solve for x
    x = 354,005,804.25/21,411.93
  6. Step 6: Final answer
    x = 16,533.11

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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.