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Finding the Fourth Proportional to 12,859.60, 19,289.40 and 11,400.40

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Solution

The fourth proportional to 12,859.60, 19,289.40 and 11,400.40 is: 17,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.60 : 19,289.40 = 11,400.40 : x
  2. Step 2: Convert to fraction form
    12,859.60/19,289.40 = 11,400.40/x
  3. Step 3: Cross multiply
    12,859.60x = 19,289.40 × 11,400.40
  4. Step 4: Simplify right side
    12,859.60x = 219,906,875.76
  5. Step 5: Solve for x
    x = 219,906,875.76/12,859.60
  6. Step 6: Final answer
    x = 17,100.60

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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.