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Finding the Fourth Proportional to 18,214.31, 25,135.62 and 10,256.51

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Solution

The fourth proportional to 18,214.31, 25,135.62 and 10,256.51 is: 14,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.31 : 25,135.62 = 10,256.51 : x
  2. Step 2: Convert to fraction form
    18,214.31/25,135.62 = 10,256.51/x
  3. Step 3: Cross multiply
    18,214.31x = 25,135.62 × 10,256.51
  4. Step 4: Simplify right side
    18,214.31x = 257,803,737.89
  5. Step 5: Solve for x
    x = 257,803,737.89/18,214.31
  6. Step 6: Final answer
    x = 14,153.91

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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.