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Finding the Fourth Proportional to 10,142.90, 14,006.79 and 9,590.69

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Solution

The fourth proportional to 10,142.90, 14,006.79 and 9,590.69 is: 13,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.90 : 14,006.79 = 9,590.69 : x
  2. Step 2: Convert to fraction form
    10,142.90/14,006.79 = 9,590.69/x
  3. Step 3: Cross multiply
    10,142.90x = 14,006.79 × 9,590.69
  4. Step 4: Simplify right side
    10,142.90x = 134,334,662.80
  5. Step 5: Solve for x
    x = 134,334,662.80/10,142.90
  6. Step 6: Final answer
    x = 13,244.21

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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.