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Finding the Fourth Proportional to 24,549.84, 36,830.88 and 7,019.82

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Solution

The fourth proportional to 24,549.84, 36,830.88 and 7,019.82 is: 10,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.84 : 36,830.88 = 7,019.82 : x
  2. Step 2: Convert to fraction form
    24,549.84/36,830.88 = 7,019.82/x
  3. Step 3: Cross multiply
    24,549.84x = 36,830.88 × 7,019.82
  4. Step 4: Simplify right side
    24,549.84x = 258,546,148.04
  5. Step 5: Solve for x
    x = 258,546,148.04/24,549.84
  6. Step 6: Final answer
    x = 10,531.48

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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.