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Finding the Fourth Proportional to 13,211.84, 18,232.49 and 7,547.34

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Solution

The fourth proportional to 13,211.84, 18,232.49 and 7,547.34 is: 10,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.84 : 18,232.49 = 7,547.34 : x
  2. Step 2: Convert to fraction form
    13,211.84/18,232.49 = 7,547.34/x
  3. Step 3: Cross multiply
    13,211.84x = 18,232.49 × 7,547.34
  4. Step 4: Simplify right side
    13,211.84x = 137,606,801.08
  5. Step 5: Solve for x
    x = 137,606,801.08/13,211.84
  6. Step 6: Final answer
    x = 10,415.42

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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.