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Finding the Fourth Proportional to 16,406.19, 24,612.93 and 4,718.57

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Solution

The fourth proportional to 16,406.19, 24,612.93 and 4,718.57 is: 7,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.19 : 24,612.93 = 4,718.57 : x
  2. Step 2: Convert to fraction form
    16,406.19/24,612.93 = 4,718.57/x
  3. Step 3: Cross multiply
    16,406.19x = 24,612.93 × 4,718.57
  4. Step 4: Simplify right side
    16,406.19x = 116,137,710.05
  5. Step 5: Solve for x
    x = 116,137,710.05/16,406.19
  6. Step 6: Final answer
    x = 7,078.90

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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.