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Finding the Fourth Proportional to 14,715.78, 20,307.67 and 8,001.41

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Solution

The fourth proportional to 14,715.78, 20,307.67 and 8,001.41 is: 11,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.78 : 20,307.67 = 8,001.41 : x
  2. Step 2: Convert to fraction form
    14,715.78/20,307.67 = 8,001.41/x
  3. Step 3: Cross multiply
    14,715.78x = 20,307.67 × 8,001.41
  4. Step 4: Simplify right side
    14,715.78x = 162,489,951.89
  5. Step 5: Solve for x
    x = 162,489,951.89/14,715.78
  6. Step 6: Final answer
    x = 11,041.89

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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.