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Finding the Fourth Proportional to 17,017.84, 25,534.14 and 7,159.60

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Solution

The fourth proportional to 17,017.84, 25,534.14 and 7,159.60 is: 10,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017.84 : 25,534.14 = 7,159.60 : x
  2. Step 2: Convert to fraction form
    17,017.84/25,534.14 = 7,159.60/x
  3. Step 3: Cross multiply
    17,017.84x = 25,534.14 × 7,159.60
  4. Step 4: Simplify right side
    17,017.84x = 182,814,228.74
  5. Step 5: Solve for x
    x = 182,814,228.74/17,017.84
  6. Step 6: Final answer
    x = 10,742.50

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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.