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Finding the Fourth Proportional to 30,177.84, 41,644.62 and 16,748.40

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Solution

The fourth proportional to 30,177.84, 41,644.62 and 16,748.40 is: 23,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.84 : 41,644.62 = 16,748.40 : x
  2. Step 2: Convert to fraction form
    30,177.84/41,644.62 = 16,748.40/x
  3. Step 3: Cross multiply
    30,177.84x = 41,644.62 × 16,748.40
  4. Step 4: Simplify right side
    30,177.84x = 697,480,753.61
  5. Step 5: Solve for x
    x = 697,480,753.61/30,177.84
  6. Step 6: Final answer
    x = 23,112.35

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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.