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Finding the Fourth Proportional to 11,430.66, 17,098.56 and 10,730.82

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Solution

The fourth proportional to 11,430.66, 17,098.56 and 10,730.82 is: 16,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.66 : 17,098.56 = 10,730.82 : x
  2. Step 2: Convert to fraction form
    11,430.66/17,098.56 = 10,730.82/x
  3. Step 3: Cross multiply
    11,430.66x = 17,098.56 × 10,730.82
  4. Step 4: Simplify right side
    11,430.66x = 183,481,569.62
  5. Step 5: Solve for x
    x = 183,481,569.62/11,430.66
  6. Step 6: Final answer
    x = 16,051.70

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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.