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Finding the Fourth Proportional to 31,024.19, 42,813.42 and 16,877

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Solution

The fourth proportional to 31,024.19, 42,813.42 and 16,877 is: 23,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.19 : 42,813.42 = 16,877 : x
  2. Step 2: Convert to fraction form
    31,024.19/42,813.42 = 16,877/x
  3. Step 3: Cross multiply
    31,024.19x = 42,813.42 × 16,877
  4. Step 4: Simplify right side
    31,024.19x = 722,562,089.34
  5. Step 5: Solve for x
    x = 722,562,089.34/31,024.19
  6. Step 6: Final answer
    x = 23,290.28

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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.