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Finding the Fourth Proportional to 19,706.59, 29,507.03 and 12,296.30

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Solution

The fourth proportional to 19,706.59, 29,507.03 and 12,296.30 is: 18,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.59 : 29,507.03 = 12,296.30 : x
  2. Step 2: Convert to fraction form
    19,706.59/29,507.03 = 12,296.30/x
  3. Step 3: Cross multiply
    19,706.59x = 29,507.03 × 12,296.30
  4. Step 4: Simplify right side
    19,706.59x = 362,827,231.51
  5. Step 5: Solve for x
    x = 362,827,231.51/19,706.59
  6. Step 6: Final answer
    x = 18,411.47

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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.