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Finding the Fourth Proportional to 24,638.49, 36,966.93 and 14,784.84

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Solution

The fourth proportional to 24,638.49, 36,966.93 and 14,784.84 is: 22,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.49 : 36,966.93 = 14,784.84 : x
  2. Step 2: Convert to fraction form
    24,638.49/36,966.93 = 14,784.84/x
  3. Step 3: Cross multiply
    24,638.49x = 36,966.93 × 14,784.84
  4. Step 4: Simplify right side
    24,638.49x = 546,550,145.34
  5. Step 5: Solve for x
    x = 546,550,145.34/24,638.49
  6. Step 6: Final answer
    x = 22,182.78

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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.