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Finding the Fourth Proportional to 16,454.67, 22,705.68 and 9,740.58

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Solution

The fourth proportional to 16,454.67, 22,705.68 and 9,740.58 is: 13,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.67 : 22,705.68 = 9,740.58 : x
  2. Step 2: Convert to fraction form
    16,454.67/22,705.68 = 9,740.58/x
  3. Step 3: Cross multiply
    16,454.67x = 22,705.68 × 9,740.58
  4. Step 4: Simplify right side
    16,454.67x = 221,166,492.49
  5. Step 5: Solve for x
    x = 221,166,492.49/16,454.67
  6. Step 6: Final answer
    x = 13,440.96

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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.