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Finding the Fourth Proportional to 30,689.64, 42,355.32 and 17,261.40

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Solution

The fourth proportional to 30,689.64, 42,355.32 and 17,261.40 is: 23,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.64 : 42,355.32 = 17,261.40 : x
  2. Step 2: Convert to fraction form
    30,689.64/42,355.32 = 17,261.40/x
  3. Step 3: Cross multiply
    30,689.64x = 42,355.32 × 17,261.40
  4. Step 4: Simplify right side
    30,689.64x = 731,112,120.65
  5. Step 5: Solve for x
    x = 731,112,120.65/30,689.64
  6. Step 6: Final answer
    x = 23,822.77

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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.