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Finding the Fourth Proportional to 14,509.42, 21,743.78 and 6,178.16

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Solution

The fourth proportional to 14,509.42, 21,743.78 and 6,178.16 is: 9,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.42 : 21,743.78 = 6,178.16 : x
  2. Step 2: Convert to fraction form
    14,509.42/21,743.78 = 6,178.16/x
  3. Step 3: Cross multiply
    14,509.42x = 21,743.78 × 6,178.16
  4. Step 4: Simplify right side
    14,509.42x = 134,336,551.84
  5. Step 5: Solve for x
    x = 134,336,551.84/14,509.42
  6. Step 6: Final answer
    x = 9,258.57

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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.