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Finding the Fourth Proportional to 13,441.19, 18,547.78 and 7,472.49

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Solution

The fourth proportional to 13,441.19, 18,547.78 and 7,472.49 is: 10,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.19 : 18,547.78 = 7,472.49 : x
  2. Step 2: Convert to fraction form
    13,441.19/18,547.78 = 7,472.49/x
  3. Step 3: Cross multiply
    13,441.19x = 18,547.78 × 7,472.49
  4. Step 4: Simplify right side
    13,441.19x = 138,598,100.57
  5. Step 5: Solve for x
    x = 138,598,100.57/13,441.19
  6. Step 6: Final answer
    x = 10,311.45

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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.