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Finding the Fourth Proportional to 16,307.46, 24,460.74 and 5,214.06

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Solution

The fourth proportional to 16,307.46, 24,460.74 and 5,214.06 is: 7,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.46 : 24,460.74 = 5,214.06 : x
  2. Step 2: Convert to fraction form
    16,307.46/24,460.74 = 5,214.06/x
  3. Step 3: Cross multiply
    16,307.46x = 24,460.74 × 5,214.06
  4. Step 4: Simplify right side
    16,307.46x = 127,539,766.00
  5. Step 5: Solve for x
    x = 127,539,766.00/16,307.46
  6. Step 6: Final answer
    x = 7,820.95

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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.