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Finding the Fourth Proportional to 15,285.84, 22,894.86 and 11,749.80

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Solution

The fourth proportional to 15,285.84, 22,894.86 and 11,749.80 is: 17,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.84 : 22,894.86 = 11,749.80 : x
  2. Step 2: Convert to fraction form
    15,285.84/22,894.86 = 11,749.80/x
  3. Step 3: Cross multiply
    15,285.84x = 22,894.86 × 11,749.80
  4. Step 4: Simplify right side
    15,285.84x = 269,010,026.03
  5. Step 5: Solve for x
    x = 269,010,026.03/15,285.84
  6. Step 6: Final answer
    x = 17,598.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.