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Finding the Fourth Proportional to 14,007.30, 21,010.95 and 8,102.40

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Solution

The fourth proportional to 14,007.30, 21,010.95 and 8,102.40 is: 12,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.30 : 21,010.95 = 8,102.40 : x
  2. Step 2: Convert to fraction form
    14,007.30/21,010.95 = 8,102.40/x
  3. Step 3: Cross multiply
    14,007.30x = 21,010.95 × 8,102.40
  4. Step 4: Simplify right side
    14,007.30x = 170,239,121.28
  5. Step 5: Solve for x
    x = 170,239,121.28/14,007.30
  6. Step 6: Final answer
    x = 12,153.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.