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Finding the Fourth Proportional to 15,618, 23,430.24 and 6,384

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Solution

The fourth proportional to 15,618, 23,430.24 and 6,384 is: 9,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,618 : 23,430.24 = 6,384 : x
  2. Step 2: Convert to fraction form
    15,618/23,430.24 = 6,384/x
  3. Step 3: Cross multiply
    15,618x = 23,430.24 × 6,384
  4. Step 4: Simplify right side
    15,618x = 149,578,652.16
  5. Step 5: Solve for x
    x = 149,578,652.16/15,618
  6. Step 6: Final answer
    x = 9,577.32

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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.