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Finding the Fourth Proportional to 10,580.85, 14,668.42 and 10,019.08

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Solution

The fourth proportional to 10,580.85, 14,668.42 and 10,019.08 is: 13,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.85 : 14,668.42 = 10,019.08 : x
  2. Step 2: Convert to fraction form
    10,580.85/14,668.42 = 10,019.08/x
  3. Step 3: Cross multiply
    10,580.85x = 14,668.42 × 10,019.08
  4. Step 4: Simplify right side
    10,580.85x = 146,964,073.45
  5. Step 5: Solve for x
    x = 146,964,073.45/10,580.85
  6. Step 6: Final answer
    x = 13,889.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.