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Finding the Fourth Proportional to 15,693.60, 23,491.80 and 9,100.20

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Solution

The fourth proportional to 15,693.60, 23,491.80 and 9,100.20 is: 13,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.60 : 23,491.80 = 9,100.20 : x
  2. Step 2: Convert to fraction form
    15,693.60/23,491.80 = 9,100.20/x
  3. Step 3: Cross multiply
    15,693.60x = 23,491.80 × 9,100.20
  4. Step 4: Simplify right side
    15,693.60x = 213,780,078.36
  5. Step 5: Solve for x
    x = 213,780,078.36/15,693.60
  6. Step 6: Final answer
    x = 13,622.12

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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.