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Finding the Fourth Proportional to 13,207.72, 19,813.71 and 4,320.46

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Solution

The fourth proportional to 13,207.72, 19,813.71 and 4,320.46 is: 6,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.72 : 19,813.71 = 4,320.46 : x
  2. Step 2: Convert to fraction form
    13,207.72/19,813.71 = 4,320.46/x
  3. Step 3: Cross multiply
    13,207.72x = 19,813.71 × 4,320.46
  4. Step 4: Simplify right side
    13,207.72x = 85,604,341.51
  5. Step 5: Solve for x
    x = 85,604,341.51/13,207.72
  6. Step 6: Final answer
    x = 6,481.39

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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.