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Finding the Fourth Proportional to 12,805.72, 17,664.76 and 7,499.52

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Solution

The fourth proportional to 12,805.72, 17,664.76 and 7,499.52 is: 10,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.72 : 17,664.76 = 7,499.52 : x
  2. Step 2: Convert to fraction form
    12,805.72/17,664.76 = 7,499.52/x
  3. Step 3: Cross multiply
    12,805.72x = 17,664.76 × 7,499.52
  4. Step 4: Simplify right side
    12,805.72x = 132,477,220.92
  5. Step 5: Solve for x
    x = 132,477,220.92/12,805.72
  6. Step 6: Final answer
    x = 10,345.16

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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.