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Finding the Fourth Proportional to 19,689.66, 29,528.12 and 6,538.50

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Solution

The fourth proportional to 19,689.66, 29,528.12 and 6,538.50 is: 9,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.66 : 29,528.12 = 6,538.50 : x
  2. Step 2: Convert to fraction form
    19,689.66/29,528.12 = 6,538.50/x
  3. Step 3: Cross multiply
    19,689.66x = 29,528.12 × 6,538.50
  4. Step 4: Simplify right side
    19,689.66x = 193,069,579.93
  5. Step 5: Solve for x
    x = 193,069,579.93/19,689.66
  6. Step 6: Final answer
    x = 9,805.63

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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.