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Finding the Fourth Proportional to 14,600.19, 20,152.72 and 9,152.21

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Solution

The fourth proportional to 14,600.19, 20,152.72 and 9,152.21 is: 12,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.19 : 20,152.72 = 9,152.21 : x
  2. Step 2: Convert to fraction form
    14,600.19/20,152.72 = 9,152.21/x
  3. Step 3: Cross multiply
    14,600.19x = 20,152.72 × 9,152.21
  4. Step 4: Simplify right side
    14,600.19x = 184,441,822.49
  5. Step 5: Solve for x
    x = 184,441,822.49/14,600.19
  6. Step 6: Final answer
    x = 12,632.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.