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Finding the Fourth Proportional to 28,304.94, 42,441 and 11,646.15

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Solution

The fourth proportional to 28,304.94, 42,441 and 11,646.15 is: 17,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,304.94 : 42,441 = 11,646.15 : x
  2. Step 2: Convert to fraction form
    28,304.94/42,441 = 11,646.15/x
  3. Step 3: Cross multiply
    28,304.94x = 42,441 × 11,646.15
  4. Step 4: Simplify right side
    28,304.94x = 494,274,252.15
  5. Step 5: Solve for x
    x = 494,274,252.15/28,304.94
  6. Step 6: Final answer
    x = 17,462.47

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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.