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Finding the Fourth Proportional to 23,971.59, 35,969.54 and 16,164

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Solution

The fourth proportional to 23,971.59, 35,969.54 and 16,164 is: 24,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.59 : 35,969.54 = 16,164 : x
  2. Step 2: Convert to fraction form
    23,971.59/35,969.54 = 16,164/x
  3. Step 3: Cross multiply
    23,971.59x = 35,969.54 × 16,164
  4. Step 4: Simplify right side
    23,971.59x = 581,411,563.74
  5. Step 5: Solve for x
    x = 581,411,563.74/23,971.59
  6. Step 6: Final answer
    x = 24,254.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.