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Finding the Fourth Proportional to 24,783.80, 34,186.08 and 14,705.12

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Solution

The fourth proportional to 24,783.80, 34,186.08 and 14,705.12 is: 20,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.80 : 34,186.08 = 14,705.12 : x
  2. Step 2: Convert to fraction form
    24,783.80/34,186.08 = 14,705.12/x
  3. Step 3: Cross multiply
    24,783.80x = 34,186.08 × 14,705.12
  4. Step 4: Simplify right side
    24,783.80x = 502,710,408.73
  5. Step 5: Solve for x
    x = 502,710,408.73/24,783.80
  6. Step 6: Final answer
    x = 20,283.83

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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.