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Finding the Fourth Proportional to 20,937.16, 31,417.98 and 7,798.84

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Solution

The fourth proportional to 20,937.16, 31,417.98 and 7,798.84 is: 11,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.16 : 31,417.98 = 7,798.84 : x
  2. Step 2: Convert to fraction form
    20,937.16/31,417.98 = 7,798.84/x
  3. Step 3: Cross multiply
    20,937.16x = 31,417.98 × 7,798.84
  4. Step 4: Simplify right side
    20,937.16x = 245,023,799.14
  5. Step 5: Solve for x
    x = 245,023,799.14/20,937.16
  6. Step 6: Final answer
    x = 11,702.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.