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Finding the Fourth Proportional to 13,564.17, 18,718.38 and 7,595.85

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Solution

The fourth proportional to 13,564.17, 18,718.38 and 7,595.85 is: 10,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.17 : 18,718.38 = 7,595.85 : x
  2. Step 2: Convert to fraction form
    13,564.17/18,718.38 = 7,595.85/x
  3. Step 3: Cross multiply
    13,564.17x = 18,718.38 × 7,595.85
  4. Step 4: Simplify right side
    13,564.17x = 142,182,006.72
  5. Step 5: Solve for x
    x = 142,182,006.72/13,564.17
  6. Step 6: Final answer
    x = 10,482.18

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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.