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Finding the Fourth Proportional to 23,072.04, 31,841.64 and 14,688

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Solution

The fourth proportional to 23,072.04, 31,841.64 and 14,688 is: 20,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.04 : 31,841.64 = 14,688 : x
  2. Step 2: Convert to fraction form
    23,072.04/31,841.64 = 14,688/x
  3. Step 3: Cross multiply
    23,072.04x = 31,841.64 × 14,688
  4. Step 4: Simplify right side
    23,072.04x = 467,690,008.32
  5. Step 5: Solve for x
    x = 467,690,008.32/23,072.04
  6. Step 6: Final answer
    x = 20,270.86

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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.