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Finding the Fourth Proportional to 12,577.60, 18,866.40 and 11,897.20

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Solution

The fourth proportional to 12,577.60, 18,866.40 and 11,897.20 is: 17,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.60 : 18,866.40 = 11,897.20 : x
  2. Step 2: Convert to fraction form
    12,577.60/18,866.40 = 11,897.20/x
  3. Step 3: Cross multiply
    12,577.60x = 18,866.40 × 11,897.20
  4. Step 4: Simplify right side
    12,577.60x = 224,457,334.08
  5. Step 5: Solve for x
    x = 224,457,334.08/12,577.60
  6. Step 6: Final answer
    x = 17,845.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.