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Finding the Fourth Proportional to 23,756.60, 32,783.64 and 13,146.68

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Solution

The fourth proportional to 23,756.60, 32,783.64 and 13,146.68 is: 18,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756.60 : 32,783.64 = 13,146.68 : x
  2. Step 2: Convert to fraction form
    23,756.60/32,783.64 = 13,146.68/x
  3. Step 3: Cross multiply
    23,756.60x = 32,783.64 × 13,146.68
  4. Step 4: Simplify right side
    23,756.60x = 430,996,024.32
  5. Step 5: Solve for x
    x = 430,996,024.32/23,756.60
  6. Step 6: Final answer
    x = 18,142.16

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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.