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Finding the Fourth Proportional to 15,152.64, 20,913.60 and 8,440.32

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Solution

The fourth proportional to 15,152.64, 20,913.60 and 8,440.32 is: 11,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.64 : 20,913.60 = 8,440.32 : x
  2. Step 2: Convert to fraction form
    15,152.64/20,913.60 = 8,440.32/x
  3. Step 3: Cross multiply
    15,152.64x = 20,913.60 × 8,440.32
  4. Step 4: Simplify right side
    15,152.64x = 176,517,476.35
  5. Step 5: Solve for x
    x = 176,517,476.35/15,152.64
  6. Step 6: Final answer
    x = 11,649.29

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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.