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Finding the Fourth Proportional to 17,042.64, 25,526.98 and 8,259.14

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Solution

The fourth proportional to 17,042.64, 25,526.98 and 8,259.14 is: 12,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.64 : 25,526.98 = 8,259.14 : x
  2. Step 2: Convert to fraction form
    17,042.64/25,526.98 = 8,259.14/x
  3. Step 3: Cross multiply
    17,042.64x = 25,526.98 × 8,259.14
  4. Step 4: Simplify right side
    17,042.64x = 210,830,901.60
  5. Step 5: Solve for x
    x = 210,830,901.60/17,042.64
  6. Step 6: Final answer
    x = 12,370.79

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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.