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Finding the Fourth Proportional to 30,804.16, 42,490.56 and 18,220

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Solution

The fourth proportional to 30,804.16, 42,490.56 and 18,220 is: 25,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.16 : 42,490.56 = 18,220 : x
  2. Step 2: Convert to fraction form
    30,804.16/42,490.56 = 18,220/x
  3. Step 3: Cross multiply
    30,804.16x = 42,490.56 × 18,220
  4. Step 4: Simplify right side
    30,804.16x = 774,178,003.20
  5. Step 5: Solve for x
    x = 774,178,003.20/30,804.16
  6. Step 6: Final answer
    x = 25,132.25

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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.