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Finding the Fourth Proportional to 20,718.90, 31,064.51 and 6,482.56

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Solution

The fourth proportional to 20,718.90, 31,064.51 and 6,482.56 is: 9,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718.90 : 31,064.51 = 6,482.56 : x
  2. Step 2: Convert to fraction form
    20,718.90/31,064.51 = 6,482.56/x
  3. Step 3: Cross multiply
    20,718.90x = 31,064.51 × 6,482.56
  4. Step 4: Simplify right side
    20,718.90x = 201,377,459.37
  5. Step 5: Solve for x
    x = 201,377,459.37/20,718.90
  6. Step 6: Final answer
    x = 9,719.50

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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.