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Finding the Fourth Proportional to 16,454.76, 24,678.06 and 6,461.55

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Solution

The fourth proportional to 16,454.76, 24,678.06 and 6,461.55 is: 9,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.76 : 24,678.06 = 6,461.55 : x
  2. Step 2: Convert to fraction form
    16,454.76/24,678.06 = 6,461.55/x
  3. Step 3: Cross multiply
    16,454.76x = 24,678.06 × 6,461.55
  4. Step 4: Simplify right side
    16,454.76x = 159,458,518.59
  5. Step 5: Solve for x
    x = 159,458,518.59/16,454.76
  6. Step 6: Final answer
    x = 9,690.72

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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.