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Finding the Fourth Proportional to 13,564.38, 18,719.52 and 7,595.67

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Solution

The fourth proportional to 13,564.38, 18,719.52 and 7,595.67 is: 10,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.38 : 18,719.52 = 7,595.67 : x
  2. Step 2: Convert to fraction form
    13,564.38/18,719.52 = 7,595.67/x
  3. Step 3: Cross multiply
    13,564.38x = 18,719.52 × 7,595.67
  4. Step 4: Simplify right side
    13,564.38x = 142,187,296.48
  5. Step 5: Solve for x
    x = 142,187,296.48/13,564.38
  6. Step 6: Final answer
    x = 10,482.40

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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.