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Finding the Fourth Proportional to 12,506.84, 17,256.20 and 7,469

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Solution

The fourth proportional to 12,506.84, 17,256.20 and 7,469 is: 10,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.84 : 17,256.20 = 7,469 : x
  2. Step 2: Convert to fraction form
    12,506.84/17,256.20 = 7,469/x
  3. Step 3: Cross multiply
    12,506.84x = 17,256.20 × 7,469
  4. Step 4: Simplify right side
    12,506.84x = 128,886,557.80
  5. Step 5: Solve for x
    x = 128,886,557.80/12,506.84
  6. Step 6: Final answer
    x = 10,305.29

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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.