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Finding the Fourth Proportional to 30,828.47, 42,543.47 and 17,400.29

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Solution

The fourth proportional to 30,828.47, 42,543.47 and 17,400.29 is: 24,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.47 : 42,543.47 = 17,400.29 : x
  2. Step 2: Convert to fraction form
    30,828.47/42,543.47 = 17,400.29/x
  3. Step 3: Cross multiply
    30,828.47x = 42,543.47 × 17,400.29
  4. Step 4: Simplify right side
    30,828.47x = 740,268,546.39
  5. Step 5: Solve for x
    x = 740,268,546.39/30,828.47
  6. Step 6: Final answer
    x = 24,012.50

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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.