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Finding the Fourth Proportional to 22,884, 31,580.40 and 12,948

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Solution

The fourth proportional to 22,884, 31,580.40 and 12,948 is: 17,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 31,580.40 = 12,948 : x
  2. Step 2: Convert to fraction form
    22,884/31,580.40 = 12,948/x
  3. Step 3: Cross multiply
    22,884x = 31,580.40 × 12,948
  4. Step 4: Simplify right side
    22,884x = 408,903,019.20
  5. Step 5: Solve for x
    x = 408,903,019.20/22,884
  6. Step 6: Final answer
    x = 17,868.51

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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.