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Finding the Fourth Proportional to 21,509.88, 29,683.66 and 12,078.46

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Solution

The fourth proportional to 21,509.88, 29,683.66 and 12,078.46 is: 16,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.88 : 29,683.66 = 12,078.46 : x
  2. Step 2: Convert to fraction form
    21,509.88/29,683.66 = 12,078.46/x
  3. Step 3: Cross multiply
    21,509.88x = 29,683.66 × 12,078.46
  4. Step 4: Simplify right side
    21,509.88x = 358,532,899.96
  5. Step 5: Solve for x
    x = 358,532,899.96/21,509.88
  6. Step 6: Final answer
    x = 16,668.29

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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.