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Finding the Fourth Proportional to 38,184.80, 57,298.08 and 14,812.16

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Solution

The fourth proportional to 38,184.80, 57,298.08 and 14,812.16 is: 22,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,184.80 : 57,298.08 = 14,812.16 : x
  2. Step 2: Convert to fraction form
    38,184.80/57,298.08 = 14,812.16/x
  3. Step 3: Cross multiply
    38,184.80x = 57,298.08 × 14,812.16
  4. Step 4: Simplify right side
    38,184.80x = 848,708,328.65
  5. Step 5: Solve for x
    x = 848,708,328.65/38,184.80
  6. Step 6: Final answer
    x = 22,226.34

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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.