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Finding the Fourth Proportional to 24,368.62, 36,538.08 and 9,584.50

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Solution

The fourth proportional to 24,368.62, 36,538.08 and 9,584.50 is: 14,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,368.62 : 36,538.08 = 9,584.50 : x
  2. Step 2: Convert to fraction form
    24,368.62/36,538.08 = 9,584.50/x
  3. Step 3: Cross multiply
    24,368.62x = 36,538.08 × 9,584.50
  4. Step 4: Simplify right side
    24,368.62x = 350,199,227.76
  5. Step 5: Solve for x
    x = 350,199,227.76/24,368.62
  6. Step 6: Final answer
    x = 14,370.91

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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.