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Finding the Fourth Proportional to 12,052.32, 16,597.08 and 10,283.28

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Solution

The fourth proportional to 12,052.32, 16,597.08 and 10,283.28 is: 14,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.32 : 16,597.08 = 10,283.28 : x
  2. Step 2: Convert to fraction form
    12,052.32/16,597.08 = 10,283.28/x
  3. Step 3: Cross multiply
    12,052.32x = 16,597.08 × 10,283.28
  4. Step 4: Simplify right side
    12,052.32x = 170,672,420.82
  5. Step 5: Solve for x
    x = 170,672,420.82/12,052.32
  6. Step 6: Final answer
    x = 14,160.96

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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.