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Finding the Fourth Proportional to 12,370.42, 17,071.38 and 7,065.24

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Solution

The fourth proportional to 12,370.42, 17,071.38 and 7,065.24 is: 9,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.42 : 17,071.38 = 7,065.24 : x
  2. Step 2: Convert to fraction form
    12,370.42/17,071.38 = 7,065.24/x
  3. Step 3: Cross multiply
    12,370.42x = 17,071.38 × 7,065.24
  4. Step 4: Simplify right side
    12,370.42x = 120,613,276.15
  5. Step 5: Solve for x
    x = 120,613,276.15/12,370.42
  6. Step 6: Final answer
    x = 9,750.14

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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.