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Finding the Fourth Proportional to 18,592.23, 27,840.80 and 10,263

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Solution

The fourth proportional to 18,592.23, 27,840.80 and 10,263 is: 15,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.23 : 27,840.80 = 10,263 : x
  2. Step 2: Convert to fraction form
    18,592.23/27,840.80 = 10,263/x
  3. Step 3: Cross multiply
    18,592.23x = 27,840.80 × 10,263
  4. Step 4: Simplify right side
    18,592.23x = 285,730,130.40
  5. Step 5: Solve for x
    x = 285,730,130.40/18,592.23
  6. Step 6: Final answer
    x = 15,368.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.