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Finding the Fourth Proportional to 42,384.48, 63,563.49 and 14,676

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Solution

The fourth proportional to 42,384.48, 63,563.49 and 14,676 is: 22,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384.48 : 63,563.49 = 14,676 : x
  2. Step 2: Convert to fraction form
    42,384.48/63,563.49 = 14,676/x
  3. Step 3: Cross multiply
    42,384.48x = 63,563.49 × 14,676
  4. Step 4: Simplify right side
    42,384.48x = 932,857,779.24
  5. Step 5: Solve for x
    x = 932,857,779.24/42,384.48
  6. Step 6: Final answer
    x = 22,009.42

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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.