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Finding the Fourth Proportional to 17,892.91, 24,715.46 and 13,618

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Solution

The fourth proportional to 17,892.91, 24,715.46 and 13,618 is: 18,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892.91 : 24,715.46 = 13,618 : x
  2. Step 2: Convert to fraction form
    17,892.91/24,715.46 = 13,618/x
  3. Step 3: Cross multiply
    17,892.91x = 24,715.46 × 13,618
  4. Step 4: Simplify right side
    17,892.91x = 336,575,134.28
  5. Step 5: Solve for x
    x = 336,575,134.28/17,892.91
  6. Step 6: Final answer
    x = 18,810.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.