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Finding the Fourth Proportional to 28,476.18, 42,716.43 and 7,699.50

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Solution

The fourth proportional to 28,476.18, 42,716.43 and 7,699.50 is: 11,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476.18 : 42,716.43 = 7,699.50 : x
  2. Step 2: Convert to fraction form
    28,476.18/42,716.43 = 7,699.50/x
  3. Step 3: Cross multiply
    28,476.18x = 42,716.43 × 7,699.50
  4. Step 4: Simplify right side
    28,476.18x = 328,895,152.79
  5. Step 5: Solve for x
    x = 328,895,152.79/28,476.18
  6. Step 6: Final answer
    x = 11,549.83

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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.