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Finding the Fourth Proportional to 15,776.86, 23,664.48 and 4,683.64

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Solution

The fourth proportional to 15,776.86, 23,664.48 and 4,683.64 is: 7,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.86 : 23,664.48 = 4,683.64 : x
  2. Step 2: Convert to fraction form
    15,776.86/23,664.48 = 4,683.64/x
  3. Step 3: Cross multiply
    15,776.86x = 23,664.48 × 4,683.64
  4. Step 4: Simplify right side
    15,776.86x = 110,835,905.11
  5. Step 5: Solve for x
    x = 110,835,905.11/15,776.86
  6. Step 6: Final answer
    x = 7,025.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.