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Finding the Fourth Proportional to 17,159.12, 25,743.12 and 4,847.12

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Solution

The fourth proportional to 17,159.12, 25,743.12 and 4,847.12 is: 7,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.12 : 25,743.12 = 4,847.12 : x
  2. Step 2: Convert to fraction form
    17,159.12/25,743.12 = 4,847.12/x
  3. Step 3: Cross multiply
    17,159.12x = 25,743.12 × 4,847.12
  4. Step 4: Simplify right side
    17,159.12x = 124,779,991.81
  5. Step 5: Solve for x
    x = 124,779,991.81/17,159.12
  6. Step 6: Final answer
    x = 7,271.93

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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.