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Finding the Fourth Proportional to 19,605.32, 29,407.96 and 7,123.02

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Solution

The fourth proportional to 19,605.32, 29,407.96 and 7,123.02 is: 10,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.32 : 29,407.96 = 7,123.02 : x
  2. Step 2: Convert to fraction form
    19,605.32/29,407.96 = 7,123.02/x
  3. Step 3: Cross multiply
    19,605.32x = 29,407.96 × 7,123.02
  4. Step 4: Simplify right side
    19,605.32x = 209,473,487.24
  5. Step 5: Solve for x
    x = 209,473,487.24/19,605.32
  6. Step 6: Final answer
    x = 10,684.52

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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.