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Finding the Fourth Proportional to 28,085.76, 38,753.28 and 18,144

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Solution

The fourth proportional to 28,085.76, 38,753.28 and 18,144 is: 25,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,085.76 : 38,753.28 = 18,144 : x
  2. Step 2: Convert to fraction form
    28,085.76/38,753.28 = 18,144/x
  3. Step 3: Cross multiply
    28,085.76x = 38,753.28 × 18,144
  4. Step 4: Simplify right side
    28,085.76x = 703,139,512.32
  5. Step 5: Solve for x
    x = 703,139,512.32/28,085.76
  6. Step 6: Final answer
    x = 25,035.45

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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.