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Finding the Fourth Proportional to 30,726.53, 42,406.65 and 17,300.40

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Solution

The fourth proportional to 30,726.53, 42,406.65 and 17,300.40 is: 23,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.53 : 42,406.65 = 17,300.40 : x
  2. Step 2: Convert to fraction form
    30,726.53/42,406.65 = 17,300.40/x
  3. Step 3: Cross multiply
    30,726.53x = 42,406.65 × 17,300.40
  4. Step 4: Simplify right side
    30,726.53x = 733,651,709.12
  5. Step 5: Solve for x
    x = 733,651,709.12/30,726.53
  6. Step 6: Final answer
    x = 23,876.82

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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.