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Finding the Fourth Proportional to 14,322.40, 19,765.05 and 8,272.19

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Solution

The fourth proportional to 14,322.40, 19,765.05 and 8,272.19 is: 11,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.40 : 19,765.05 = 8,272.19 : x
  2. Step 2: Convert to fraction form
    14,322.40/19,765.05 = 8,272.19/x
  3. Step 3: Cross multiply
    14,322.40x = 19,765.05 × 8,272.19
  4. Step 4: Simplify right side
    14,322.40x = 163,500,248.96
  5. Step 5: Solve for x
    x = 163,500,248.96/14,322.40
  6. Step 6: Final answer
    x = 11,415.70

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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.