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Finding the Fourth Proportional to 28,017.84, 42,033 and 12,225.42

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Solution

The fourth proportional to 28,017.84, 42,033 and 12,225.42 is: 18,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017.84 : 42,033 = 12,225.42 : x
  2. Step 2: Convert to fraction form
    28,017.84/42,033 = 12,225.42/x
  3. Step 3: Cross multiply
    28,017.84x = 42,033 × 12,225.42
  4. Step 4: Simplify right side
    28,017.84x = 513,871,078.86
  5. Step 5: Solve for x
    x = 513,871,078.86/28,017.84
  6. Step 6: Final answer
    x = 18,340.85

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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.