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Finding the Fourth Proportional to 14,857.72, 22,300.50 and 7,842.94

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Solution

The fourth proportional to 14,857.72, 22,300.50 and 7,842.94 is: 11,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.72 : 22,300.50 = 7,842.94 : x
  2. Step 2: Convert to fraction form
    14,857.72/22,300.50 = 7,842.94/x
  3. Step 3: Cross multiply
    14,857.72x = 22,300.50 × 7,842.94
  4. Step 4: Simplify right side
    14,857.72x = 174,901,483.47
  5. Step 5: Solve for x
    x = 174,901,483.47/14,857.72
  6. Step 6: Final answer
    x = 11,771.76

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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.