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Finding the Fourth Proportional to 13,211.59, 18,232.14 and 7,547.09

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Solution

The fourth proportional to 13,211.59, 18,232.14 and 7,547.09 is: 10,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.59 : 18,232.14 = 7,547.09 : x
  2. Step 2: Convert to fraction form
    13,211.59/18,232.14 = 7,547.09/x
  3. Step 3: Cross multiply
    13,211.59x = 18,232.14 × 7,547.09
  4. Step 4: Simplify right side
    13,211.59x = 137,599,510.31
  5. Step 5: Solve for x
    x = 137,599,510.31/13,211.59
  6. Step 6: Final answer
    x = 10,415.06

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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.