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Finding the Fourth Proportional to 13,820.72, 19,066.94 and 9,631.40

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Solution

The fourth proportional to 13,820.72, 19,066.94 and 9,631.40 is: 13,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.72 : 19,066.94 = 9,631.40 : x
  2. Step 2: Convert to fraction form
    13,820.72/19,066.94 = 9,631.40/x
  3. Step 3: Cross multiply
    13,820.72x = 19,066.94 × 9,631.40
  4. Step 4: Simplify right side
    13,820.72x = 183,641,182.42
  5. Step 5: Solve for x
    x = 183,641,182.42/13,820.72
  6. Step 6: Final answer
    x = 13,287.39

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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.