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Finding the Fourth Proportional to 14,307.72, 19,745.64 and 8,020.50

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Solution

The fourth proportional to 14,307.72, 19,745.64 and 8,020.50 is: 11,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.72 : 19,745.64 = 8,020.50 : x
  2. Step 2: Convert to fraction form
    14,307.72/19,745.64 = 8,020.50/x
  3. Step 3: Cross multiply
    14,307.72x = 19,745.64 × 8,020.50
  4. Step 4: Simplify right side
    14,307.72x = 158,369,905.62
  5. Step 5: Solve for x
    x = 158,369,905.62/14,307.72
  6. Step 6: Final answer
    x = 11,068.84

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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.