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Finding the Fourth Proportional to 23,646.96, 32,646.17 and 15,700.05

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Solution

The fourth proportional to 23,646.96, 32,646.17 and 15,700.05 is: 21,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.96 : 32,646.17 = 15,700.05 : x
  2. Step 2: Convert to fraction form
    23,646.96/32,646.17 = 15,700.05/x
  3. Step 3: Cross multiply
    23,646.96x = 32,646.17 × 15,700.05
  4. Step 4: Simplify right side
    23,646.96x = 512,546,501.31
  5. Step 5: Solve for x
    x = 512,546,501.31/23,646.96
  6. Step 6: Final answer
    x = 21,674.94

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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.