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Finding the Fourth Proportional to 13,564.66, 18,719.90 and 7,596.34

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Solution

The fourth proportional to 13,564.66, 18,719.90 and 7,596.34 is: 10,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.66 : 18,719.90 = 7,596.34 : x
  2. Step 2: Convert to fraction form
    13,564.66/18,719.90 = 7,596.34/x
  3. Step 3: Cross multiply
    13,564.66x = 18,719.90 × 7,596.34
  4. Step 4: Simplify right side
    13,564.66x = 142,202,725.17
  5. Step 5: Solve for x
    x = 142,202,725.17/13,564.66
  6. Step 6: Final answer
    x = 10,483.32

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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.