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Finding the Fourth Proportional to 23,485.78, 32,411.10 and 12,876.13

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Solution

The fourth proportional to 23,485.78, 32,411.10 and 12,876.13 is: 17,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.78 : 32,411.10 = 12,876.13 : x
  2. Step 2: Convert to fraction form
    23,485.78/32,411.10 = 12,876.13/x
  3. Step 3: Cross multiply
    23,485.78x = 32,411.10 × 12,876.13
  4. Step 4: Simplify right side
    23,485.78x = 417,329,537.04
  5. Step 5: Solve for x
    x = 417,329,537.04/23,485.78
  6. Step 6: Final answer
    x = 17,769.46

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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.