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Finding the Fourth Proportional to 14,996.16, 22,501.44 and 5,760

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Solution

The fourth proportional to 14,996.16, 22,501.44 and 5,760 is: 8,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.16 : 22,501.44 = 5,760 : x
  2. Step 2: Convert to fraction form
    14,996.16/22,501.44 = 5,760/x
  3. Step 3: Cross multiply
    14,996.16x = 22,501.44 × 5,760
  4. Step 4: Simplify right side
    14,996.16x = 129,608,294.40
  5. Step 5: Solve for x
    x = 129,608,294.40/14,996.16
  6. Step 6: Final answer
    x = 8,642.77

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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.