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Finding the Fourth Proportional to 17,803.96, 26,707.47 and 4,656.31

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Solution

The fourth proportional to 17,803.96, 26,707.47 and 4,656.31 is: 6,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,803.96 : 26,707.47 = 4,656.31 : x
  2. Step 2: Convert to fraction form
    17,803.96/26,707.47 = 4,656.31/x
  3. Step 3: Cross multiply
    17,803.96x = 26,707.47 × 4,656.31
  4. Step 4: Simplify right side
    17,803.96x = 124,358,259.64
  5. Step 5: Solve for x
    x = 124,358,259.64/17,803.96
  6. Step 6: Final answer
    x = 6,984.87

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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.