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Finding the Fourth Proportional to 30,809.16, 42,497.44 and 18,225

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Solution

The fourth proportional to 30,809.16, 42,497.44 and 18,225 is: 25,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.16 : 42,497.44 = 18,225 : x
  2. Step 2: Convert to fraction form
    30,809.16/42,497.44 = 18,225/x
  3. Step 3: Cross multiply
    30,809.16x = 42,497.44 × 18,225
  4. Step 4: Simplify right side
    30,809.16x = 774,515,844
  5. Step 5: Solve for x
    x = 774,515,844/30,809.16
  6. Step 6: Final answer
    x = 25,139.14

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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.