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Finding the Fourth Proportional to 28,360.46, 39,139.70 and 16,424

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Solution

The fourth proportional to 28,360.46, 39,139.70 and 16,424 is: 22,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,360.46 : 39,139.70 = 16,424 : x
  2. Step 2: Convert to fraction form
    28,360.46/39,139.70 = 16,424/x
  3. Step 3: Cross multiply
    28,360.46x = 39,139.70 × 16,424
  4. Step 4: Simplify right side
    28,360.46x = 642,830,432.80
  5. Step 5: Solve for x
    x = 642,830,432.80/28,360.46
  6. Step 6: Final answer
    x = 22,666.43

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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.