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Finding the Fourth Proportional to 14,137.88, 19,507.01 and 8,471.57

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Solution

The fourth proportional to 14,137.88, 19,507.01 and 8,471.57 is: 11,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.88 : 19,507.01 = 8,471.57 : x
  2. Step 2: Convert to fraction form
    14,137.88/19,507.01 = 8,471.57/x
  3. Step 3: Cross multiply
    14,137.88x = 19,507.01 × 8,471.57
  4. Step 4: Simplify right side
    14,137.88x = 165,254,860.81
  5. Step 5: Solve for x
    x = 165,254,860.81/14,137.88
  6. Step 6: Final answer
    x = 11,688.80

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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.