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Finding the Fourth Proportional to 13,565.88, 20,341.53 and 4,794.30

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Solution

The fourth proportional to 13,565.88, 20,341.53 and 4,794.30 is: 7,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.88 : 20,341.53 = 4,794.30 : x
  2. Step 2: Convert to fraction form
    13,565.88/20,341.53 = 4,794.30/x
  3. Step 3: Cross multiply
    13,565.88x = 20,341.53 × 4,794.30
  4. Step 4: Simplify right side
    13,565.88x = 97,523,397.28
  5. Step 5: Solve for x
    x = 97,523,397.28/13,565.88
  6. Step 6: Final answer
    x = 7,188.87

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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.