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Finding the Fourth Proportional to 21,561, 32,378.28 and 11,719.50

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Solution

The fourth proportional to 21,561, 32,378.28 and 11,719.50 is: 17,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,561 : 32,378.28 = 11,719.50 : x
  2. Step 2: Convert to fraction form
    21,561/32,378.28 = 11,719.50/x
  3. Step 3: Cross multiply
    21,561x = 32,378.28 × 11,719.50
  4. Step 4: Simplify right side
    21,561x = 379,457,252.46
  5. Step 5: Solve for x
    x = 379,457,252.46/21,561
  6. Step 6: Final answer
    x = 17,599.24

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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.