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Finding the Fourth Proportional to 12,405.60, 17,126.40 and 9,566.76

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Solution

The fourth proportional to 12,405.60, 17,126.40 and 9,566.76 is: 13,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.60 : 17,126.40 = 9,566.76 : x
  2. Step 2: Convert to fraction form
    12,405.60/17,126.40 = 9,566.76/x
  3. Step 3: Cross multiply
    12,405.60x = 17,126.40 × 9,566.76
  4. Step 4: Simplify right side
    12,405.60x = 163,844,158.46
  5. Step 5: Solve for x
    x = 163,844,158.46/12,405.60
  6. Step 6: Final answer
    x = 13,207.27

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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.