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Finding the Fourth Proportional to 34,415.32, 51,641.78 and 13,356.19

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Solution

The fourth proportional to 34,415.32, 51,641.78 and 13,356.19 is: 20,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.32 : 51,641.78 = 13,356.19 : x
  2. Step 2: Convert to fraction form
    34,415.32/51,641.78 = 13,356.19/x
  3. Step 3: Cross multiply
    34,415.32x = 51,641.78 × 13,356.19
  4. Step 4: Simplify right side
    34,415.32x = 689,737,100.63
  5. Step 5: Solve for x
    x = 689,737,100.63/34,415.32
  6. Step 6: Final answer
    x = 20,041.57

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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.