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Finding the Fourth Proportional to 23,376, 32,258.25 and 12,765.81

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Solution

The fourth proportional to 23,376, 32,258.25 and 12,765.81 is: 17,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376 : 32,258.25 = 12,765.81 : x
  2. Step 2: Convert to fraction form
    23,376/32,258.25 = 12,765.81/x
  3. Step 3: Cross multiply
    23,376x = 32,258.25 × 12,765.81
  4. Step 4: Simplify right side
    23,376x = 411,802,690.43
  5. Step 5: Solve for x
    x = 411,802,690.43/23,376
  6. Step 6: Final answer
    x = 17,616.47

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Why These Related Problems?

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