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Finding the Fourth Proportional to 24,527.58, 36,814.47 and 12,849

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Solution

The fourth proportional to 24,527.58, 36,814.47 and 12,849 is: 19,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.58 : 36,814.47 = 12,849 : x
  2. Step 2: Convert to fraction form
    24,527.58/36,814.47 = 12,849/x
  3. Step 3: Cross multiply
    24,527.58x = 36,814.47 × 12,849
  4. Step 4: Simplify right side
    24,527.58x = 473,029,125.03
  5. Step 5: Solve for x
    x = 473,029,125.03/24,527.58
  6. Step 6: Final answer
    x = 19,285.60

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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.