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Finding the Fourth Proportional to 19,506.30, 29,259.16 and 4,715.12

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Solution

The fourth proportional to 19,506.30, 29,259.16 and 4,715.12 is: 7,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.30 : 29,259.16 = 4,715.12 : x
  2. Step 2: Convert to fraction form
    19,506.30/29,259.16 = 4,715.12/x
  3. Step 3: Cross multiply
    19,506.30x = 29,259.16 × 4,715.12
  4. Step 4: Simplify right side
    19,506.30x = 137,960,450.50
  5. Step 5: Solve for x
    x = 137,960,450.50/19,506.30
  6. Step 6: Final answer
    x = 7,072.61

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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.