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Finding the Fourth Proportional to 22,539.72, 31,094.34 and 14,584.51

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Solution

The fourth proportional to 22,539.72, 31,094.34 and 14,584.51 is: 20,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.72 : 31,094.34 = 14,584.51 : x
  2. Step 2: Convert to fraction form
    22,539.72/31,094.34 = 14,584.51/x
  3. Step 3: Cross multiply
    22,539.72x = 31,094.34 × 14,584.51
  4. Step 4: Simplify right side
    22,539.72x = 453,495,712.67
  5. Step 5: Solve for x
    x = 453,495,712.67/22,539.72
  6. Step 6: Final answer
    x = 20,119.85

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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.