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Finding the Fourth Proportional to 15,501.76, 21,392.38 and 8,428.20

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Solution

The fourth proportional to 15,501.76, 21,392.38 and 8,428.20 is: 11,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,501.76 : 21,392.38 = 8,428.20 : x
  2. Step 2: Convert to fraction form
    15,501.76/21,392.38 = 8,428.20/x
  3. Step 3: Cross multiply
    15,501.76x = 21,392.38 × 8,428.20
  4. Step 4: Simplify right side
    15,501.76x = 180,299,257.12
  5. Step 5: Solve for x
    x = 180,299,257.12/15,501.76
  6. Step 6: Final answer
    x = 11,630.89

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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.