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Finding the Fourth Proportional to 17,885.12, 26,828.86 and 4,737.32

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Solution

The fourth proportional to 17,885.12, 26,828.86 and 4,737.32 is: 7,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.12 : 26,828.86 = 4,737.32 : x
  2. Step 2: Convert to fraction form
    17,885.12/26,828.86 = 4,737.32/x
  3. Step 3: Cross multiply
    17,885.12x = 26,828.86 × 4,737.32
  4. Step 4: Simplify right side
    17,885.12x = 127,096,895.06
  5. Step 5: Solve for x
    x = 127,096,895.06/17,885.12
  6. Step 6: Final answer
    x = 7,106.29

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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.