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Finding the Fourth Proportional to 15,807.60, 23,712.48 and 4,122

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Solution

The fourth proportional to 15,807.60, 23,712.48 and 4,122 is: 6,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.60 : 23,712.48 = 4,122 : x
  2. Step 2: Convert to fraction form
    15,807.60/23,712.48 = 4,122/x
  3. Step 3: Cross multiply
    15,807.60x = 23,712.48 × 4,122
  4. Step 4: Simplify right side
    15,807.60x = 97,742,842.56
  5. Step 5: Solve for x
    x = 97,742,842.56/15,807.60
  6. Step 6: Final answer
    x = 6,183.28

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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.