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Finding the Fourth Proportional to 10,142.26, 14,005.98 and 9,590.02

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Solution

The fourth proportional to 10,142.26, 14,005.98 and 9,590.02 is: 13,243.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.26 : 14,005.98 = 9,590.02 : x
  2. Step 2: Convert to fraction form
    10,142.26/14,005.98 = 9,590.02/x
  3. Step 3: Cross multiply
    10,142.26x = 14,005.98 × 9,590.02
  4. Step 4: Simplify right side
    10,142.26x = 134,317,628.32
  5. Step 5: Solve for x
    x = 134,317,628.32/10,142.26
  6. Step 6: Final answer
    x = 13,243.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.