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Finding the Fourth Proportional to 16,428.96, 24,642.72 and 4,582.80

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Solution

The fourth proportional to 16,428.96, 24,642.72 and 4,582.80 is: 6,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.96 : 24,642.72 = 4,582.80 : x
  2. Step 2: Convert to fraction form
    16,428.96/24,642.72 = 4,582.80/x
  3. Step 3: Cross multiply
    16,428.96x = 24,642.72 × 4,582.80
  4. Step 4: Simplify right side
    16,428.96x = 112,932,657.22
  5. Step 5: Solve for x
    x = 112,932,657.22/16,428.96
  6. Step 6: Final answer
    x = 6,874.00

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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.