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Finding the Fourth Proportional to 21,732.24, 29,989.64 and 12,300.24

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Solution

The fourth proportional to 21,732.24, 29,989.64 and 12,300.24 is: 16,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.24 : 29,989.64 = 12,300.24 : x
  2. Step 2: Convert to fraction form
    21,732.24/29,989.64 = 12,300.24/x
  3. Step 3: Cross multiply
    21,732.24x = 29,989.64 × 12,300.24
  4. Step 4: Simplify right side
    21,732.24x = 368,879,769.51
  5. Step 5: Solve for x
    x = 368,879,769.51/21,732.24
  6. Step 6: Final answer
    x = 16,973.85

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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.