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Finding the Fourth Proportional to 14,333.84, 19,778.55 and 8,045

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Solution

The fourth proportional to 14,333.84, 19,778.55 and 8,045 is: 11,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.84 : 19,778.55 = 8,045 : x
  2. Step 2: Convert to fraction form
    14,333.84/19,778.55 = 8,045/x
  3. Step 3: Cross multiply
    14,333.84x = 19,778.55 × 8,045
  4. Step 4: Simplify right side
    14,333.84x = 159,118,434.75
  5. Step 5: Solve for x
    x = 159,118,434.75/14,333.84
  6. Step 6: Final answer
    x = 11,100.89

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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.