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Finding the Fourth Proportional to 16,405.95, 24,608.07 and 4,718.71

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Solution

The fourth proportional to 16,405.95, 24,608.07 and 4,718.71 is: 7,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.95 : 24,608.07 = 4,718.71 : x
  2. Step 2: Convert to fraction form
    16,405.95/24,608.07 = 4,718.71/x
  3. Step 3: Cross multiply
    16,405.95x = 24,608.07 × 4,718.71
  4. Step 4: Simplify right side
    16,405.95x = 116,118,322.40
  5. Step 5: Solve for x
    x = 116,118,322.40/16,405.95
  6. Step 6: Final answer
    x = 7,077.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.