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Finding the Fourth Proportional to 19,528, 26,950.08 and 12,077.44

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Solution

The fourth proportional to 19,528, 26,950.08 and 12,077.44 is: 16,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528 : 26,950.08 = 12,077.44 : x
  2. Step 2: Convert to fraction form
    19,528/26,950.08 = 12,077.44/x
  3. Step 3: Cross multiply
    19,528x = 26,950.08 × 12,077.44
  4. Step 4: Simplify right side
    19,528x = 325,487,974.20
  5. Step 5: Solve for x
    x = 325,487,974.20/19,528
  6. Step 6: Final answer
    x = 16,667.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.