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Finding the Fourth Proportional to 13,112.89, 19,647.46 and 9,210.31

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Solution

The fourth proportional to 13,112.89, 19,647.46 and 9,210.31 is: 13,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.89 : 19,647.46 = 9,210.31 : x
  2. Step 2: Convert to fraction form
    13,112.89/19,647.46 = 9,210.31/x
  3. Step 3: Cross multiply
    13,112.89x = 19,647.46 × 9,210.31
  4. Step 4: Simplify right side
    13,112.89x = 180,959,159.71
  5. Step 5: Solve for x
    x = 180,959,159.71/13,112.89
  6. Step 6: Final answer
    x = 13,800.10

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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.