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Finding the Fourth Proportional to 13,228.10, 18,254.76 and 7,259.78

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Solution

The fourth proportional to 13,228.10, 18,254.76 and 7,259.78 is: 10,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.10 : 18,254.76 = 7,259.78 : x
  2. Step 2: Convert to fraction form
    13,228.10/18,254.76 = 7,259.78/x
  3. Step 3: Cross multiply
    13,228.10x = 18,254.76 × 7,259.78
  4. Step 4: Simplify right side
    13,228.10x = 132,525,491.51
  5. Step 5: Solve for x
    x = 132,525,491.51/13,228.10
  6. Step 6: Final answer
    x = 10,018.49

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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.