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Finding the Fourth Proportional to 14,313.11, 19,748.35 and 8,261.87

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Solution

The fourth proportional to 14,313.11, 19,748.35 and 8,261.87 is: 11,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.11 : 19,748.35 = 8,261.87 : x
  2. Step 2: Convert to fraction form
    14,313.11/19,748.35 = 8,261.87/x
  3. Step 3: Cross multiply
    14,313.11x = 19,748.35 × 8,261.87
  4. Step 4: Simplify right side
    14,313.11x = 163,158,300.41
  5. Step 5: Solve for x
    x = 163,158,300.41/14,313.11
  6. Step 6: Final answer
    x = 11,399.22

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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.