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Finding the Fourth Proportional to 23,114.01, 31,897.18 and 12,503.42

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Solution

The fourth proportional to 23,114.01, 31,897.18 and 12,503.42 is: 17,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.01 : 31,897.18 = 12,503.42 : x
  2. Step 2: Convert to fraction form
    23,114.01/31,897.18 = 12,503.42/x
  3. Step 3: Cross multiply
    23,114.01x = 31,897.18 × 12,503.42
  4. Step 4: Simplify right side
    23,114.01x = 398,823,838.36
  5. Step 5: Solve for x
    x = 398,823,838.36/23,114.01
  6. Step 6: Final answer
    x = 17,254.64

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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.