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Finding the Fourth Proportional to 18,148.48, 27,203.28 and 6,457.84

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Solution

The fourth proportional to 18,148.48, 27,203.28 and 6,457.84 is: 9,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148.48 : 27,203.28 = 6,457.84 : x
  2. Step 2: Convert to fraction form
    18,148.48/27,203.28 = 6,457.84/x
  3. Step 3: Cross multiply
    18,148.48x = 27,203.28 × 6,457.84
  4. Step 4: Simplify right side
    18,148.48x = 175,674,429.72
  5. Step 5: Solve for x
    x = 175,674,429.72/18,148.48
  6. Step 6: Final answer
    x = 9,679.84

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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.