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Finding the Fourth Proportional to 19,497.50, 29,246.24 and 4,706.40

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Solution

The fourth proportional to 19,497.50, 29,246.24 and 4,706.40 is: 7,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.50 : 29,246.24 = 4,706.40 : x
  2. Step 2: Convert to fraction form
    19,497.50/29,246.24 = 4,706.40/x
  3. Step 3: Cross multiply
    19,497.50x = 29,246.24 × 4,706.40
  4. Step 4: Simplify right side
    19,497.50x = 137,644,515.70
  5. Step 5: Solve for x
    x = 137,644,515.70/19,497.50
  6. Step 6: Final answer
    x = 7,059.60

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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.