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Finding the Fourth Proportional to 19,706.70, 29,511.45 and 13,097.10

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Solution

The fourth proportional to 19,706.70, 29,511.45 and 13,097.10 is: 19,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.70 : 29,511.45 = 13,097.10 : x
  2. Step 2: Convert to fraction form
    19,706.70/29,511.45 = 13,097.10/x
  3. Step 3: Cross multiply
    19,706.70x = 29,511.45 × 13,097.10
  4. Step 4: Simplify right side
    19,706.70x = 386,514,411.80
  5. Step 5: Solve for x
    x = 386,514,411.80/19,706.70
  6. Step 6: Final answer
    x = 19,613.35

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1.5x scale

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.