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Finding the Fourth Proportional to 23,695.86, 32,699.23 and 13,085.26

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Solution

The fourth proportional to 23,695.86, 32,699.23 and 13,085.26 is: 18,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.86 : 32,699.23 = 13,085.26 : x
  2. Step 2: Convert to fraction form
    23,695.86/32,699.23 = 13,085.26/x
  3. Step 3: Cross multiply
    23,695.86x = 32,699.23 × 13,085.26
  4. Step 4: Simplify right side
    23,695.86x = 427,877,926.35
  5. Step 5: Solve for x
    x = 427,877,926.35/23,695.86
  6. Step 6: Final answer
    x = 18,057.08

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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.