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Finding the Fourth Proportional to 23,699, 35,567.76 and 12,015.56

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Solution

The fourth proportional to 23,699, 35,567.76 and 12,015.56 is: 18,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699 : 35,567.76 = 12,015.56 : x
  2. Step 2: Convert to fraction form
    23,699/35,567.76 = 12,015.56/x
  3. Step 3: Cross multiply
    23,699x = 35,567.76 × 12,015.56
  4. Step 4: Simplify right side
    23,699x = 427,366,554.35
  5. Step 5: Solve for x
    x = 427,366,554.35/23,699
  6. Step 6: Final answer
    x = 18,033.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.