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Finding the Fourth Proportional to 11,124.30, 16,646.90 and 9,582.60

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Solution

The fourth proportional to 11,124.30, 16,646.90 and 9,582.60 is: 14,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.30 : 16,646.90 = 9,582.60 : x
  2. Step 2: Convert to fraction form
    11,124.30/16,646.90 = 9,582.60/x
  3. Step 3: Cross multiply
    11,124.30x = 16,646.90 × 9,582.60
  4. Step 4: Simplify right side
    11,124.30x = 159,520,536.03
  5. Step 5: Solve for x
    x = 159,520,536.03/11,124.30
  6. Step 6: Final answer
    x = 14,339.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.