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Finding the Fourth Proportional to 14,443.69, 19,932.32 and 8,070.30

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Solution

The fourth proportional to 14,443.69, 19,932.32 and 8,070.30 is: 11,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.69 : 19,932.32 = 8,070.30 : x
  2. Step 2: Convert to fraction form
    14,443.69/19,932.32 = 8,070.30/x
  3. Step 3: Cross multiply
    14,443.69x = 19,932.32 × 8,070.30
  4. Step 4: Simplify right side
    14,443.69x = 160,859,702.43
  5. Step 5: Solve for x
    x = 160,859,702.43/14,443.69
  6. Step 6: Final answer
    x = 11,137.03

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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.