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Finding the Fourth Proportional to 23,210.64, 34,815.96 and 8,416.20

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Solution

The fourth proportional to 23,210.64, 34,815.96 and 8,416.20 is: 12,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.64 : 34,815.96 = 8,416.20 : x
  2. Step 2: Convert to fraction form
    23,210.64/34,815.96 = 8,416.20/x
  3. Step 3: Cross multiply
    23,210.64x = 34,815.96 × 8,416.20
  4. Step 4: Simplify right side
    23,210.64x = 293,018,082.55
  5. Step 5: Solve for x
    x = 293,018,082.55/23,210.64
  6. Step 6: Final answer
    x = 12,624.30

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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.