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Finding the Fourth Proportional to 28,304.96, 42,457.44 and 9,824

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Solution

The fourth proportional to 28,304.96, 42,457.44 and 9,824 is: 14,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,304.96 : 42,457.44 = 9,824 : x
  2. Step 2: Convert to fraction form
    28,304.96/42,457.44 = 9,824/x
  3. Step 3: Cross multiply
    28,304.96x = 42,457.44 × 9,824
  4. Step 4: Simplify right side
    28,304.96x = 417,101,890.56
  5. Step 5: Solve for x
    x = 417,101,890.56/28,304.96
  6. Step 6: Final answer
    x = 14,736

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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.