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Finding the Fourth Proportional to 14,554.96, 21,842 and 7,985.76

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Solution

The fourth proportional to 14,554.96, 21,842 and 7,985.76 is: 11,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.96 : 21,842 = 7,985.76 : x
  2. Step 2: Convert to fraction form
    14,554.96/21,842 = 7,985.76/x
  3. Step 3: Cross multiply
    14,554.96x = 21,842 × 7,985.76
  4. Step 4: Simplify right side
    14,554.96x = 174,424,969.92
  5. Step 5: Solve for x
    x = 174,424,969.92/14,554.96
  6. Step 6: Final answer
    x = 11,983.89

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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.