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Finding the Fourth Proportional to 23,656.86, 32,646.05 and 12,901.82

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Solution

The fourth proportional to 23,656.86, 32,646.05 and 12,901.82 is: 17,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.86 : 32,646.05 = 12,901.82 : x
  2. Step 2: Convert to fraction form
    23,656.86/32,646.05 = 12,901.82/x
  3. Step 3: Cross multiply
    23,656.86x = 32,646.05 × 12,901.82
  4. Step 4: Simplify right side
    23,656.86x = 421,193,379.20
  5. Step 5: Solve for x
    x = 421,193,379.20/23,656.86
  6. Step 6: Final answer
    x = 17,804.28

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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.