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Finding the Fourth Proportional to 20,931, 31,397.14 and 6,139.94

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Solution

The fourth proportional to 20,931, 31,397.14 and 6,139.94 is: 9,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931 : 31,397.14 = 6,139.94 : x
  2. Step 2: Convert to fraction form
    20,931/31,397.14 = 6,139.94/x
  3. Step 3: Cross multiply
    20,931x = 31,397.14 × 6,139.94
  4. Step 4: Simplify right side
    20,931x = 192,776,555.77
  5. Step 5: Solve for x
    x = 192,776,555.77/20,931
  6. Step 6: Final answer
    x = 9,210.10

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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.