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Finding the Fourth Proportional to 22,457.80, 33,688.30 and 6,875.40

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Solution

The fourth proportional to 22,457.80, 33,688.30 and 6,875.40 is: 10,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.80 : 33,688.30 = 6,875.40 : x
  2. Step 2: Convert to fraction form
    22,457.80/33,688.30 = 6,875.40/x
  3. Step 3: Cross multiply
    22,457.80x = 33,688.30 × 6,875.40
  4. Step 4: Simplify right side
    22,457.80x = 231,620,537.82
  5. Step 5: Solve for x
    x = 231,620,537.82/22,457.80
  6. Step 6: Final answer
    x = 10,313.59

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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.