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Finding the Fourth Proportional to 21,509.68, 29,681.67 and 12,076.42

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Solution

The fourth proportional to 21,509.68, 29,681.67 and 12,076.42 is: 16,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.68 : 29,681.67 = 12,076.42 : x
  2. Step 2: Convert to fraction form
    21,509.68/29,681.67 = 12,076.42/x
  3. Step 3: Cross multiply
    21,509.68x = 29,681.67 × 12,076.42
  4. Step 4: Simplify right side
    21,509.68x = 358,448,313.22
  5. Step 5: Solve for x
    x = 358,448,313.22/21,509.68
  6. Step 6: Final answer
    x = 16,664.51

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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.