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Finding the Fourth Proportional to 20,737.40, 31,106.10 and 6,886.40

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Solution

The fourth proportional to 20,737.40, 31,106.10 and 6,886.40 is: 10,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.40 : 31,106.10 = 6,886.40 : x
  2. Step 2: Convert to fraction form
    20,737.40/31,106.10 = 6,886.40/x
  3. Step 3: Cross multiply
    20,737.40x = 31,106.10 × 6,886.40
  4. Step 4: Simplify right side
    20,737.40x = 214,209,047.04
  5. Step 5: Solve for x
    x = 214,209,047.04/20,737.40
  6. Step 6: Final answer
    x = 10,329.60

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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.