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Finding the Fourth Proportional to 23,114, 31,897.32 and 12,503.64

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Solution

The fourth proportional to 23,114, 31,897.32 and 12,503.64 is: 17,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114 : 31,897.32 = 12,503.64 : x
  2. Step 2: Convert to fraction form
    23,114/31,897.32 = 12,503.64/x
  3. Step 3: Cross multiply
    23,114x = 31,897.32 × 12,503.64
  4. Step 4: Simplify right side
    23,114x = 398,832,606.24
  5. Step 5: Solve for x
    x = 398,832,606.24/23,114
  6. Step 6: Final answer
    x = 17,255.02

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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.