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Finding the Fourth Proportional to 17,595.65, 24,282.01 and 9,638.01

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Solution

The fourth proportional to 17,595.65, 24,282.01 and 9,638.01 is: 13,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.65 : 24,282.01 = 9,638.01 : x
  2. Step 2: Convert to fraction form
    17,595.65/24,282.01 = 9,638.01/x
  3. Step 3: Cross multiply
    17,595.65x = 24,282.01 × 9,638.01
  4. Step 4: Simplify right side
    17,595.65x = 234,030,255.20
  5. Step 5: Solve for x
    x = 234,030,255.20/17,595.65
  6. Step 6: Final answer
    x = 13,300.46

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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.