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Finding the Fourth Proportional to 13,564.40, 18,719.73 and 7,597.98

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Solution

The fourth proportional to 13,564.40, 18,719.73 and 7,597.98 is: 10,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.40 : 18,719.73 = 7,597.98 : x
  2. Step 2: Convert to fraction form
    13,564.40/18,719.73 = 7,597.98/x
  3. Step 3: Cross multiply
    13,564.40x = 18,719.73 × 7,597.98
  4. Step 4: Simplify right side
    13,564.40x = 142,232,134.15
  5. Step 5: Solve for x
    x = 142,232,134.15/13,564.40
  6. Step 6: Final answer
    x = 10,485.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.