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Finding the Fourth Proportional to 12,971.16, 17,900.64 and 7,670.52

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Solution

The fourth proportional to 12,971.16, 17,900.64 and 7,670.52 is: 10,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.16 : 17,900.64 = 7,670.52 : x
  2. Step 2: Convert to fraction form
    12,971.16/17,900.64 = 7,670.52/x
  3. Step 3: Cross multiply
    12,971.16x = 17,900.64 × 7,670.52
  4. Step 4: Simplify right side
    12,971.16x = 137,307,217.13
  5. Step 5: Solve for x
    x = 137,307,217.13/12,971.16
  6. Step 6: Final answer
    x = 10,585.58

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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.