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Finding the Fourth Proportional to 21,564.47, 29,758.95 and 12,133.01

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Solution

The fourth proportional to 21,564.47, 29,758.95 and 12,133.01 is: 16,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.47 : 29,758.95 = 12,133.01 : x
  2. Step 2: Convert to fraction form
    21,564.47/29,758.95 = 12,133.01/x
  3. Step 3: Cross multiply
    21,564.47x = 29,758.95 × 12,133.01
  4. Step 4: Simplify right side
    21,564.47x = 361,065,489.14
  5. Step 5: Solve for x
    x = 361,065,489.14/21,564.47
  6. Step 6: Final answer
    x = 16,743.54

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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.