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Finding the Fourth Proportional to 21,511.90, 29,683.21 and 12,078.64

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Solution

The fourth proportional to 21,511.90, 29,683.21 and 12,078.64 is: 16,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.90 : 29,683.21 = 12,078.64 : x
  2. Step 2: Convert to fraction form
    21,511.90/29,683.21 = 12,078.64/x
  3. Step 3: Cross multiply
    21,511.90x = 29,683.21 × 12,078.64
  4. Step 4: Simplify right side
    21,511.90x = 358,532,807.63
  5. Step 5: Solve for x
    x = 358,532,807.63/21,511.90
  6. Step 6: Final answer
    x = 16,666.72

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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.