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Finding the Fourth Proportional to 12,431.50, 17,155.47 and 6,842.50

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Solution

The fourth proportional to 12,431.50, 17,155.47 and 6,842.50 is: 9,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.50 : 17,155.47 = 6,842.50 : x
  2. Step 2: Convert to fraction form
    12,431.50/17,155.47 = 6,842.50/x
  3. Step 3: Cross multiply
    12,431.50x = 17,155.47 × 6,842.50
  4. Step 4: Simplify right side
    12,431.50x = 117,386,303.48
  5. Step 5: Solve for x
    x = 117,386,303.48/12,431.50
  6. Step 6: Final answer
    x = 9,442.65

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