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Finding the Fourth Proportional to 11,430.30, 17,098.02 and 10,730.46

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Solution

The fourth proportional to 11,430.30, 17,098.02 and 10,730.46 is: 16,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.30 : 17,098.02 = 10,730.46 : x
  2. Step 2: Convert to fraction form
    11,430.30/17,098.02 = 10,730.46/x
  3. Step 3: Cross multiply
    11,430.30x = 17,098.02 × 10,730.46
  4. Step 4: Simplify right side
    11,430.30x = 183,469,619.69
  5. Step 5: Solve for x
    x = 183,469,619.69/11,430.30
  6. Step 6: Final answer
    x = 16,051.16

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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.