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Finding the Fourth Proportional to 15,384, 21,233.60 and 9,420.64

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Solution

The fourth proportional to 15,384, 21,233.60 and 9,420.64 is: 13,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384 : 21,233.60 = 9,420.64 : x
  2. Step 2: Convert to fraction form
    15,384/21,233.60 = 9,420.64/x
  3. Step 3: Cross multiply
    15,384x = 21,233.60 × 9,420.64
  4. Step 4: Simplify right side
    15,384x = 200,034,101.50
  5. Step 5: Solve for x
    x = 200,034,101.50/15,384
  6. Step 6: Final answer
    x = 13,002.74

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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.