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Finding the Fourth Proportional to 12,522.60, 18,784.86 and 5,597.80

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Solution

The fourth proportional to 12,522.60, 18,784.86 and 5,597.80 is: 8,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.60 : 18,784.86 = 5,597.80 : x
  2. Step 2: Convert to fraction form
    12,522.60/18,784.86 = 5,597.80/x
  3. Step 3: Cross multiply
    12,522.60x = 18,784.86 × 5,597.80
  4. Step 4: Simplify right side
    12,522.60x = 105,153,889.31
  5. Step 5: Solve for x
    x = 105,153,889.31/12,522.60
  6. Step 6: Final answer
    x = 8,397.13

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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.