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Finding the Fourth Proportional to 12,417.96, 17,137.62 and 6,829.32

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Solution

The fourth proportional to 12,417.96, 17,137.62 and 6,829.32 is: 9,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.96 : 17,137.62 = 6,829.32 : x
  2. Step 2: Convert to fraction form
    12,417.96/17,137.62 = 6,829.32/x
  3. Step 3: Cross multiply
    12,417.96x = 17,137.62 × 6,829.32
  4. Step 4: Simplify right side
    12,417.96x = 117,038,291.02
  5. Step 5: Solve for x
    x = 117,038,291.02/12,417.96
  6. Step 6: Final answer
    x = 9,424.92

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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.