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Finding the Fourth Proportional to 12,788.86, 17,648.62 and 7,484.69

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Solution

The fourth proportional to 12,788.86, 17,648.62 and 7,484.69 is: 10,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.86 : 17,648.62 = 7,484.69 : x
  2. Step 2: Convert to fraction form
    12,788.86/17,648.62 = 7,484.69/x
  3. Step 3: Cross multiply
    12,788.86x = 17,648.62 × 7,484.69
  4. Step 4: Simplify right side
    12,788.86x = 132,094,342.67
  5. Step 5: Solve for x
    x = 132,094,342.67/12,788.86
  6. Step 6: Final answer
    x = 10,328.86

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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.