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Finding the Fourth Proportional to 13,455.40, 18,566.40 and 8,417.20

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Solution

The fourth proportional to 13,455.40, 18,566.40 and 8,417.20 is: 11,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.40 : 18,566.40 = 8,417.20 : x
  2. Step 2: Convert to fraction form
    13,455.40/18,566.40 = 8,417.20/x
  3. Step 3: Cross multiply
    13,455.40x = 18,566.40 × 8,417.20
  4. Step 4: Simplify right side
    13,455.40x = 156,277,102.08
  5. Step 5: Solve for x
    x = 156,277,102.08/13,455.40
  6. Step 6: Final answer
    x = 11,614.45

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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.