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Finding the Fourth Proportional to 23,106.88, 31,892.43 and 14,603.59

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Solution

The fourth proportional to 23,106.88, 31,892.43 and 14,603.59 is: 20,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.88 : 31,892.43 = 14,603.59 : x
  2. Step 2: Convert to fraction form
    23,106.88/31,892.43 = 14,603.59/x
  3. Step 3: Cross multiply
    23,106.88x = 31,892.43 × 14,603.59
  4. Step 4: Simplify right side
    23,106.88x = 465,743,971.82
  5. Step 5: Solve for x
    x = 465,743,971.82/23,106.88
  6. Step 6: Final answer
    x = 20,156.07

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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.