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Finding the Fourth Proportional to 12,417.40, 17,142.36 and 9,578.40

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Solution

The fourth proportional to 12,417.40, 17,142.36 and 9,578.40 is: 13,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.40 : 17,142.36 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    12,417.40/17,142.36 = 9,578.40/x
  3. Step 3: Cross multiply
    12,417.40x = 17,142.36 × 9,578.40
  4. Step 4: Simplify right side
    12,417.40x = 164,196,393.00
  5. Step 5: Solve for x
    x = 164,196,393.00/12,417.40
  6. Step 6: Final answer
    x = 13,223.09

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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.