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Finding the Fourth Proportional to 30,652.32, 42,300.53 and 17,223.84

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Solution

The fourth proportional to 30,652.32, 42,300.53 and 17,223.84 is: 23,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.32 : 42,300.53 = 17,223.84 : x
  2. Step 2: Convert to fraction form
    30,652.32/42,300.53 = 17,223.84/x
  3. Step 3: Cross multiply
    30,652.32x = 42,300.53 × 17,223.84
  4. Step 4: Simplify right side
    30,652.32x = 728,577,539.11
  5. Step 5: Solve for x
    x = 728,577,539.11/30,652.32
  6. Step 6: Final answer
    x = 23,769.08

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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.