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Finding the Fourth Proportional to 17,206.60, 25,829.10 and 9,411.40

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Solution

The fourth proportional to 17,206.60, 25,829.10 and 9,411.40 is: 14,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.60 : 25,829.10 = 9,411.40 : x
  2. Step 2: Convert to fraction form
    17,206.60/25,829.10 = 9,411.40/x
  3. Step 3: Cross multiply
    17,206.60x = 25,829.10 × 9,411.40
  4. Step 4: Simplify right side
    17,206.60x = 243,087,991.74
  5. Step 5: Solve for x
    x = 243,087,991.74/17,206.60
  6. Step 6: Final answer
    x = 14,127.60

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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.