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Finding the Fourth Proportional to 18,457.76, 27,647.34 and 9,666.02

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Solution

The fourth proportional to 18,457.76, 27,647.34 and 9,666.02 is: 14,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.76 : 27,647.34 = 9,666.02 : x
  2. Step 2: Convert to fraction form
    18,457.76/27,647.34 = 9,666.02/x
  3. Step 3: Cross multiply
    18,457.76x = 27,647.34 × 9,666.02
  4. Step 4: Simplify right side
    18,457.76x = 267,239,603.15
  5. Step 5: Solve for x
    x = 267,239,603.15/18,457.76
  6. Step 6: Final answer
    x = 14,478.45

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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.