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Finding the Fourth Proportional to 16,182.06, 24,278.93 and 5,653.63

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Solution

The fourth proportional to 16,182.06, 24,278.93 and 5,653.63 is: 8,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.06 : 24,278.93 = 5,653.63 : x
  2. Step 2: Convert to fraction form
    16,182.06/24,278.93 = 5,653.63/x
  3. Step 3: Cross multiply
    16,182.06x = 24,278.93 × 5,653.63
  4. Step 4: Simplify right side
    16,182.06x = 137,264,058.75
  5. Step 5: Solve for x
    x = 137,264,058.75/16,182.06
  6. Step 6: Final answer
    x = 8,482.49

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Why These Related Problems?

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