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Finding the Fourth Proportional to 12,582.60, 17,349.70 and 8,039.26

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Solution

The fourth proportional to 12,582.60, 17,349.70 and 8,039.26 is: 11,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.60 : 17,349.70 = 8,039.26 : x
  2. Step 2: Convert to fraction form
    12,582.60/17,349.70 = 8,039.26/x
  3. Step 3: Cross multiply
    12,582.60x = 17,349.70 × 8,039.26
  4. Step 4: Simplify right side
    12,582.60x = 139,478,749.22
  5. Step 5: Solve for x
    x = 139,478,749.22/12,582.60
  6. Step 6: Final answer
    x = 11,085.05

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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.