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Finding the Fourth Proportional to 13,565.82, 20,347.58 and 4,205.63

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Solution

The fourth proportional to 13,565.82, 20,347.58 and 4,205.63 is: 6,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.82 : 20,347.58 = 4,205.63 : x
  2. Step 2: Convert to fraction form
    13,565.82/20,347.58 = 4,205.63/x
  3. Step 3: Cross multiply
    13,565.82x = 20,347.58 × 4,205.63
  4. Step 4: Simplify right side
    13,565.82x = 85,574,270.11
  5. Step 5: Solve for x
    x = 85,574,270.11/13,565.82
  6. Step 6: Final answer
    x = 6,308.08

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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.