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Finding the Fourth Proportional to 23,647.68, 32,631.30 and 13,036.68

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Solution

The fourth proportional to 23,647.68, 32,631.30 and 13,036.68 is: 17,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.68 : 32,631.30 = 13,036.68 : x
  2. Step 2: Convert to fraction form
    23,647.68/32,631.30 = 13,036.68/x
  3. Step 3: Cross multiply
    23,647.68x = 32,631.30 × 13,036.68
  4. Step 4: Simplify right side
    23,647.68x = 425,403,816.08
  5. Step 5: Solve for x
    x = 425,403,816.08/23,647.68
  6. Step 6: Final answer
    x = 17,989.24

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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.