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Finding the Fourth Proportional to 12,285.26, 18,430.65 and 4,494

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Solution

The fourth proportional to 12,285.26, 18,430.65 and 4,494 is: 6,742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.26 : 18,430.65 = 4,494 : x
  2. Step 2: Convert to fraction form
    12,285.26/18,430.65 = 4,494/x
  3. Step 3: Cross multiply
    12,285.26x = 18,430.65 × 4,494
  4. Step 4: Simplify right side
    12,285.26x = 82,827,341.10
  5. Step 5: Solve for x
    x = 82,827,341.10/12,285.26
  6. Step 6: Final answer
    x = 6,742.01

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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.