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Finding the Fourth Proportional to 24,673.71, 37,005.22 and 7,808.05

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Solution

The fourth proportional to 24,673.71, 37,005.22 and 7,808.05 is: 11,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,673.71 : 37,005.22 = 7,808.05 : x
  2. Step 2: Convert to fraction form
    24,673.71/37,005.22 = 7,808.05/x
  3. Step 3: Cross multiply
    24,673.71x = 37,005.22 × 7,808.05
  4. Step 4: Simplify right side
    24,673.71x = 288,938,455.88
  5. Step 5: Solve for x
    x = 288,938,455.88/24,673.71
  6. Step 6: Final answer
    x = 11,710.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.