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Finding the Fourth Proportional to 24,784.84, 37,169.58 and 8,365

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Solution

The fourth proportional to 24,784.84, 37,169.58 and 8,365 is: 12,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.84 : 37,169.58 = 8,365 : x
  2. Step 2: Convert to fraction form
    24,784.84/37,169.58 = 8,365/x
  3. Step 3: Cross multiply
    24,784.84x = 37,169.58 × 8,365
  4. Step 4: Simplify right side
    24,784.84x = 310,923,536.70
  5. Step 5: Solve for x
    x = 310,923,536.70/24,784.84
  6. Step 6: Final answer
    x = 12,544.91

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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.