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Finding the Fourth Proportional to 16,218.88, 24,328.16 and 4,974.08

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Solution

The fourth proportional to 16,218.88, 24,328.16 and 4,974.08 is: 7,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.88 : 24,328.16 = 4,974.08 : x
  2. Step 2: Convert to fraction form
    16,218.88/24,328.16 = 4,974.08/x
  3. Step 3: Cross multiply
    16,218.88x = 24,328.16 × 4,974.08
  4. Step 4: Simplify right side
    16,218.88x = 121,010,214.09
  5. Step 5: Solve for x
    x = 121,010,214.09/16,218.88
  6. Step 6: Final answer
    x = 7,461.07

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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.