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Finding the Fourth Proportional to 15,713.10, 23,569.62 and 4,026.30

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Solution

The fourth proportional to 15,713.10, 23,569.62 and 4,026.30 is: 6,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.10 : 23,569.62 = 4,026.30 : x
  2. Step 2: Convert to fraction form
    15,713.10/23,569.62 = 4,026.30/x
  3. Step 3: Cross multiply
    15,713.10x = 23,569.62 × 4,026.30
  4. Step 4: Simplify right side
    15,713.10x = 94,898,361.01
  5. Step 5: Solve for x
    x = 94,898,361.01/15,713.10
  6. Step 6: Final answer
    x = 6,039.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.