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Finding the Fourth Proportional to 10,142.66, 14,006.45 and 9,590.45

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Solution

The fourth proportional to 10,142.66, 14,006.45 and 9,590.45 is: 13,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.66 : 14,006.45 = 9,590.45 : x
  2. Step 2: Convert to fraction form
    10,142.66/14,006.45 = 9,590.45/x
  3. Step 3: Cross multiply
    10,142.66x = 14,006.45 × 9,590.45
  4. Step 4: Simplify right side
    10,142.66x = 134,328,112.35
  5. Step 5: Solve for x
    x = 134,328,112.35/10,142.66
  6. Step 6: Final answer
    x = 13,243.87

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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.