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Finding the Fourth Proportional to 17,686.10, 24,404.04 and 10,130.63

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Solution

The fourth proportional to 17,686.10, 24,404.04 and 10,130.63 is: 13,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.10 : 24,404.04 = 10,130.63 : x
  2. Step 2: Convert to fraction form
    17,686.10/24,404.04 = 10,130.63/x
  3. Step 3: Cross multiply
    17,686.10x = 24,404.04 × 10,130.63
  4. Step 4: Simplify right side
    17,686.10x = 247,228,177.73
  5. Step 5: Solve for x
    x = 247,228,177.73/17,686.10
  6. Step 6: Final answer
    x = 13,978.67

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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.