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Finding the Fourth Proportional to 22,578.55, 31,157.16 and 12,506.81

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Solution

The fourth proportional to 22,578.55, 31,157.16 and 12,506.81 is: 17,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.55 : 31,157.16 = 12,506.81 : x
  2. Step 2: Convert to fraction form
    22,578.55/31,157.16 = 12,506.81/x
  3. Step 3: Cross multiply
    22,578.55x = 31,157.16 × 12,506.81
  4. Step 4: Simplify right side
    22,578.55x = 389,676,477.57
  5. Step 5: Solve for x
    x = 389,676,477.57/22,578.55
  6. Step 6: Final answer
    x = 17,258.70

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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.