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Finding the Fourth Proportional to 23,094.89, 31,854.12 and 17,656.25

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Solution

The fourth proportional to 23,094.89, 31,854.12 and 17,656.25 is: 24,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.89 : 31,854.12 = 17,656.25 : x
  2. Step 2: Convert to fraction form
    23,094.89/31,854.12 = 17,656.25/x
  3. Step 3: Cross multiply
    23,094.89x = 31,854.12 × 17,656.25
  4. Step 4: Simplify right side
    23,094.89x = 562,424,306.25
  5. Step 5: Solve for x
    x = 562,424,306.25/23,094.89
  6. Step 6: Final answer
    x = 24,352.76

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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.