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Finding the Fourth Proportional to 15,489, 21,371.40 and 8,774.04

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Solution

The fourth proportional to 15,489, 21,371.40 and 8,774.04 is: 12,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489 : 21,371.40 = 8,774.04 : x
  2. Step 2: Convert to fraction form
    15,489/21,371.40 = 8,774.04/x
  3. Step 3: Cross multiply
    15,489x = 21,371.40 × 8,774.04
  4. Step 4: Simplify right side
    15,489x = 187,513,518.46
  5. Step 5: Solve for x
    x = 187,513,518.46/15,489
  6. Step 6: Final answer
    x = 12,106.24

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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.