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Finding the Fourth Proportional to 23,113.88, 31,897.11 and 12,503.51

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Solution

The fourth proportional to 23,113.88, 31,897.11 and 12,503.51 is: 17,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.88 : 31,897.11 = 12,503.51 : x
  2. Step 2: Convert to fraction form
    23,113.88/31,897.11 = 12,503.51/x
  3. Step 3: Cross multiply
    23,113.88x = 31,897.11 × 12,503.51
  4. Step 4: Simplify right side
    23,113.88x = 398,825,674.37
  5. Step 5: Solve for x
    x = 398,825,674.37/23,113.88
  6. Step 6: Final answer
    x = 17,254.82

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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.