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Finding the Fourth Proportional to 23,503.15, 35,254.86 and 5,973

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Solution

The fourth proportional to 23,503.15, 35,254.86 and 5,973 is: 8,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.15 : 35,254.86 = 5,973 : x
  2. Step 2: Convert to fraction form
    23,503.15/35,254.86 = 5,973/x
  3. Step 3: Cross multiply
    23,503.15x = 35,254.86 × 5,973
  4. Step 4: Simplify right side
    23,503.15x = 210,577,278.78
  5. Step 5: Solve for x
    x = 210,577,278.78/23,503.15
  6. Step 6: Final answer
    x = 8,959.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.