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Finding the Fourth Proportional to 19,064.89, 26,308.68 and 10,567

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Solution

The fourth proportional to 19,064.89, 26,308.68 and 10,567 is: 14,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064.89 : 26,308.68 = 10,567 : x
  2. Step 2: Convert to fraction form
    19,064.89/26,308.68 = 10,567/x
  3. Step 3: Cross multiply
    19,064.89x = 26,308.68 × 10,567
  4. Step 4: Simplify right side
    19,064.89x = 278,003,821.56
  5. Step 5: Solve for x
    x = 278,003,821.56/19,064.89
  6. Step 6: Final answer
    x = 14,581.98

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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.