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Finding the Fourth Proportional to 12,432, 18,654.48 and 6,276

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Solution

The fourth proportional to 12,432, 18,654.48 and 6,276 is: 9,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432 : 18,654.48 = 6,276 : x
  2. Step 2: Convert to fraction form
    12,432/18,654.48 = 6,276/x
  3. Step 3: Cross multiply
    12,432x = 18,654.48 × 6,276
  4. Step 4: Simplify right side
    12,432x = 117,075,516.48
  5. Step 5: Solve for x
    x = 117,075,516.48/12,432
  6. Step 6: Final answer
    x = 9,417.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.