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Finding the Fourth Proportional to 22,673.04, 31,277.84 and 13,236

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Solution

The fourth proportional to 22,673.04, 31,277.84 and 13,236 is: 18,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.04 : 31,277.84 = 13,236 : x
  2. Step 2: Convert to fraction form
    22,673.04/31,277.84 = 13,236/x
  3. Step 3: Cross multiply
    22,673.04x = 31,277.84 × 13,236
  4. Step 4: Simplify right side
    22,673.04x = 413,993,490.24
  5. Step 5: Solve for x
    x = 413,993,490.24/22,673.04
  6. Step 6: Final answer
    x = 18,259.28

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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.