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Finding the Fourth Proportional to 13,532.34, 18,672.35 and 7,564.06

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Solution

The fourth proportional to 13,532.34, 18,672.35 and 7,564.06 is: 10,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.34 : 18,672.35 = 7,564.06 : x
  2. Step 2: Convert to fraction form
    13,532.34/18,672.35 = 7,564.06/x
  3. Step 3: Cross multiply
    13,532.34x = 18,672.35 × 7,564.06
  4. Step 4: Simplify right side
    13,532.34x = 141,238,775.74
  5. Step 5: Solve for x
    x = 141,238,775.74/13,532.34
  6. Step 6: Final answer
    x = 10,437.13

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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.