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Finding the Fourth Proportional to 13,567.70, 20,354.46 and 4,207.51

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Solution

The fourth proportional to 13,567.70, 20,354.46 and 4,207.51 is: 6,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.70 : 20,354.46 = 4,207.51 : x
  2. Step 2: Convert to fraction form
    13,567.70/20,354.46 = 4,207.51/x
  3. Step 3: Cross multiply
    13,567.70x = 20,354.46 × 4,207.51
  4. Step 4: Simplify right side
    13,567.70x = 85,641,623.84
  5. Step 5: Solve for x
    x = 85,641,623.84/13,567.70
  6. Step 6: Final answer
    x = 6,312.17

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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.