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Finding the Fourth Proportional to 11,322.86, 15,627.33 and 10,824.57

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Solution

The fourth proportional to 11,322.86, 15,627.33 and 10,824.57 is: 14,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.86 : 15,627.33 = 10,824.57 : x
  2. Step 2: Convert to fraction form
    11,322.86/15,627.33 = 10,824.57/x
  3. Step 3: Cross multiply
    11,322.86x = 15,627.33 × 10,824.57
  4. Step 4: Simplify right side
    11,322.86x = 169,159,127.50
  5. Step 5: Solve for x
    x = 169,159,127.50/11,322.86
  6. Step 6: Final answer
    x = 14,939.62

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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.