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Finding the Fourth Proportional to 12,802.40, 19,203.60 and 8,865.80

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Solution

The fourth proportional to 12,802.40, 19,203.60 and 8,865.80 is: 13,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.40 : 19,203.60 = 8,865.80 : x
  2. Step 2: Convert to fraction form
    12,802.40/19,203.60 = 8,865.80/x
  3. Step 3: Cross multiply
    12,802.40x = 19,203.60 × 8,865.80
  4. Step 4: Simplify right side
    12,802.40x = 170,255,276.88
  5. Step 5: Solve for x
    x = 170,255,276.88/12,802.40
  6. Step 6: Final answer
    x = 13,298.70

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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.