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Finding the Fourth Proportional to 23,662.47, 32,656.50 and 17,683.77

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Solution

The fourth proportional to 23,662.47, 32,656.50 and 17,683.77 is: 24,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.47 : 32,656.50 = 17,683.77 : x
  2. Step 2: Convert to fraction form
    23,662.47/32,656.50 = 17,683.77/x
  3. Step 3: Cross multiply
    23,662.47x = 32,656.50 × 17,683.77
  4. Step 4: Simplify right side
    23,662.47x = 577,490,035.01
  5. Step 5: Solve for x
    x = 577,490,035.01/23,662.47
  6. Step 6: Final answer
    x = 24,405.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.