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Finding the Fourth Proportional to 28,460.98, 42,678.16 and 16,618.18

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Solution

The fourth proportional to 28,460.98, 42,678.16 and 16,618.18 is: 24,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,460.98 : 42,678.16 = 16,618.18 : x
  2. Step 2: Convert to fraction form
    28,460.98/42,678.16 = 16,618.18/x
  3. Step 3: Cross multiply
    28,460.98x = 42,678.16 × 16,618.18
  4. Step 4: Simplify right side
    28,460.98x = 709,233,344.95
  5. Step 5: Solve for x
    x = 709,233,344.95/28,460.98
  6. Step 6: Final answer
    x = 24,919.50

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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.