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Finding the Fourth Proportional to 16,214.60, 24,307.20 and 5,823.92

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Solution

The fourth proportional to 16,214.60, 24,307.20 and 5,823.92 is: 8,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.60 : 24,307.20 = 5,823.92 : x
  2. Step 2: Convert to fraction form
    16,214.60/24,307.20 = 5,823.92/x
  3. Step 3: Cross multiply
    16,214.60x = 24,307.20 × 5,823.92
  4. Step 4: Simplify right side
    16,214.60x = 141,563,188.22
  5. Step 5: Solve for x
    x = 141,563,188.22/16,214.60
  6. Step 6: Final answer
    x = 8,730.60

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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.