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Finding the Fourth Proportional to 19,536.42, 29,308.95 and 5,686.50

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Solution

The fourth proportional to 19,536.42, 29,308.95 and 5,686.50 is: 8,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.42 : 29,308.95 = 5,686.50 : x
  2. Step 2: Convert to fraction form
    19,536.42/29,308.95 = 5,686.50/x
  3. Step 3: Cross multiply
    19,536.42x = 29,308.95 × 5,686.50
  4. Step 4: Simplify right side
    19,536.42x = 166,665,344.18
  5. Step 5: Solve for x
    x = 166,665,344.18/19,536.42
  6. Step 6: Final answer
    x = 8,531.01

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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.