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Finding the Fourth Proportional to 14,996.30, 22,461.65 and 9,712.94

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Solution

The fourth proportional to 14,996.30, 22,461.65 and 9,712.94 is: 14,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.30 : 22,461.65 = 9,712.94 : x
  2. Step 2: Convert to fraction form
    14,996.30/22,461.65 = 9,712.94/x
  3. Step 3: Cross multiply
    14,996.30x = 22,461.65 × 9,712.94
  4. Step 4: Simplify right side
    14,996.30x = 218,168,610.19
  5. Step 5: Solve for x
    x = 218,168,610.19/14,996.30
  6. Step 6: Final answer
    x = 14,548.16

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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.