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Finding the Fourth Proportional to 12,497.06, 17,246.40 and 6,832.19

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Solution

The fourth proportional to 12,497.06, 17,246.40 and 6,832.19 is: 9,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.06 : 17,246.40 = 6,832.19 : x
  2. Step 2: Convert to fraction form
    12,497.06/17,246.40 = 6,832.19/x
  3. Step 3: Cross multiply
    12,497.06x = 17,246.40 × 6,832.19
  4. Step 4: Simplify right side
    12,497.06x = 117,830,595.38
  5. Step 5: Solve for x
    x = 117,830,595.38/12,497.06
  6. Step 6: Final answer
    x = 9,428.67

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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.