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Finding the Fourth Proportional to 13,564.95, 18,719.40 and 7,596.60

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Solution

The fourth proportional to 13,564.95, 18,719.40 and 7,596.60 is: 10,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.95 : 18,719.40 = 7,596.60 : x
  2. Step 2: Convert to fraction form
    13,564.95/18,719.40 = 7,596.60/x
  3. Step 3: Cross multiply
    13,564.95x = 18,719.40 × 7,596.60
  4. Step 4: Simplify right side
    13,564.95x = 142,203,794.04
  5. Step 5: Solve for x
    x = 142,203,794.04/13,564.95
  6. Step 6: Final answer
    x = 10,483.18

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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.