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Finding the Fourth Proportional to 16,405.56, 24,612.24 and 5,312.25

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Solution

The fourth proportional to 16,405.56, 24,612.24 and 5,312.25 is: 7,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.56 : 24,612.24 = 5,312.25 : x
  2. Step 2: Convert to fraction form
    16,405.56/24,612.24 = 5,312.25/x
  3. Step 3: Cross multiply
    16,405.56x = 24,612.24 × 5,312.25
  4. Step 4: Simplify right side
    16,405.56x = 130,746,371.94
  5. Step 5: Solve for x
    x = 130,746,371.94/16,405.56
  6. Step 6: Final answer
    x = 7,969.64

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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.