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Finding the Fourth Proportional to 14,378.10, 19,840.70 and 8,089.26

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Solution

The fourth proportional to 14,378.10, 19,840.70 and 8,089.26 is: 11,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.10 : 19,840.70 = 8,089.26 : x
  2. Step 2: Convert to fraction form
    14,378.10/19,840.70 = 8,089.26/x
  3. Step 3: Cross multiply
    14,378.10x = 19,840.70 × 8,089.26
  4. Step 4: Simplify right side
    14,378.10x = 160,496,580.88
  5. Step 5: Solve for x
    x = 160,496,580.88/14,378.10
  6. Step 6: Final answer
    x = 11,162.57

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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.