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Finding the Fourth Proportional to 23,114.16, 31,897.48 and 12,503.84

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Solution

The fourth proportional to 23,114.16, 31,897.48 and 12,503.84 is: 17,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.16 : 31,897.48 = 12,503.84 : x
  2. Step 2: Convert to fraction form
    23,114.16/31,897.48 = 12,503.84/x
  3. Step 3: Cross multiply
    23,114.16x = 31,897.48 × 12,503.84
  4. Step 4: Simplify right side
    23,114.16x = 398,840,986.32
  5. Step 5: Solve for x
    x = 398,840,986.32/23,114.16
  6. Step 6: Final answer
    x = 17,255.27

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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.