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Finding the Fourth Proportional to 22,823.28, 31,496.04 and 12,752.64

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Solution

The fourth proportional to 22,823.28, 31,496.04 and 12,752.64 is: 17,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.28 : 31,496.04 = 12,752.64 : x
  2. Step 2: Convert to fraction form
    22,823.28/31,496.04 = 12,752.64/x
  3. Step 3: Cross multiply
    22,823.28x = 31,496.04 × 12,752.64
  4. Step 4: Simplify right side
    22,823.28x = 401,657,659.55
  5. Step 5: Solve for x
    x = 401,657,659.55/22,823.28
  6. Step 6: Final answer
    x = 17,598.59

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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.