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Finding the Fourth Proportional to 14,135.40, 19,509.04 and 8,166.60

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Solution

The fourth proportional to 14,135.40, 19,509.04 and 8,166.60 is: 11,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.40 : 19,509.04 = 8,166.60 : x
  2. Step 2: Convert to fraction form
    14,135.40/19,509.04 = 8,166.60/x
  3. Step 3: Cross multiply
    14,135.40x = 19,509.04 × 8,166.60
  4. Step 4: Simplify right side
    14,135.40x = 159,322,526.06
  5. Step 5: Solve for x
    x = 159,322,526.06/14,135.40
  6. Step 6: Final answer
    x = 11,271.17

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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.