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Finding the Fourth Proportional to 16,283.78, 24,385.86 and 14,706.08

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Solution

The fourth proportional to 16,283.78, 24,385.86 and 14,706.08 is: 22,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.78 : 24,385.86 = 14,706.08 : x
  2. Step 2: Convert to fraction form
    16,283.78/24,385.86 = 14,706.08/x
  3. Step 3: Cross multiply
    16,283.78x = 24,385.86 × 14,706.08
  4. Step 4: Simplify right side
    16,283.78x = 358,620,408.03
  5. Step 5: Solve for x
    x = 358,620,408.03/16,283.78
  6. Step 6: Final answer
    x = 22,023.17

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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.