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Finding the Fourth Proportional to 17,089.76, 25,643.76 and 6,701.60

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Solution

The fourth proportional to 17,089.76, 25,643.76 and 6,701.60 is: 10,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.76 : 25,643.76 = 6,701.60 : x
  2. Step 2: Convert to fraction form
    17,089.76/25,643.76 = 6,701.60/x
  3. Step 3: Cross multiply
    17,089.76x = 25,643.76 × 6,701.60
  4. Step 4: Simplify right side
    17,089.76x = 171,854,222.02
  5. Step 5: Solve for x
    x = 171,854,222.02/17,089.76
  6. Step 6: Final answer
    x = 10,055.98

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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.