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Finding the Fourth Proportional to 12,503.16, 18,756.36 and 4,182.84

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Solution

The fourth proportional to 12,503.16, 18,756.36 and 4,182.84 is: 6,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.16 : 18,756.36 = 4,182.84 : x
  2. Step 2: Convert to fraction form
    12,503.16/18,756.36 = 4,182.84/x
  3. Step 3: Cross multiply
    12,503.16x = 18,756.36 × 4,182.84
  4. Step 4: Simplify right side
    12,503.16x = 78,454,852.86
  5. Step 5: Solve for x
    x = 78,454,852.86/12,503.16
  6. Step 6: Final answer
    x = 6,274.80

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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.