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Finding the Fourth Proportional to 12,566.60, 18,852.60 and 3,802.40

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Solution

The fourth proportional to 12,566.60, 18,852.60 and 3,802.40 is: 5,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.60 : 18,852.60 = 3,802.40 : x
  2. Step 2: Convert to fraction form
    12,566.60/18,852.60 = 3,802.40/x
  3. Step 3: Cross multiply
    12,566.60x = 18,852.60 × 3,802.40
  4. Step 4: Simplify right side
    12,566.60x = 71,685,126.24
  5. Step 5: Solve for x
    x = 71,685,126.24/12,566.60
  6. Step 6: Final answer
    x = 5,704.42

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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.