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Finding the Fourth Proportional to 13,564.84, 18,719.58 and 7,596.58

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Solution

The fourth proportional to 13,564.84, 18,719.58 and 7,596.58 is: 10,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.84 : 18,719.58 = 7,596.58 : x
  2. Step 2: Convert to fraction form
    13,564.84/18,719.58 = 7,596.58/x
  3. Step 3: Cross multiply
    13,564.84x = 18,719.58 × 7,596.58
  4. Step 4: Simplify right side
    13,564.84x = 142,204,787.04
  5. Step 5: Solve for x
    x = 142,204,787.04/13,564.84
  6. Step 6: Final answer
    x = 10,483.34

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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.